<?xml version="1.0" encoding="us-ascii"?><InstanceReport xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema"><Version>2.2.0.25</Version><hasSegments>false</hasSegments><hasScenarios>false</hasScenarios><ReportLongName>0206 - Disclosure - Brazilian Venture</ReportLongName><DisplayLabelColumn>true</DisplayLabelColumn><ShowElementNames>false</ShowElementNames><RoundingOption /><HasEmbeddedReports>false</HasEmbeddedReports><Columns><Column><Id>1</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelColumn>false</LabelColumn><CurrencyCode>USD</CurrencyCode><FootnoteIndexer /><hasSegments>false</hasSegments><hasScenarios>false</hasScenarios><MCU><KeyName>1/1/2010 - 12/31/2010
USD ($)

USD ($) / shares

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    &lt;!--DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd" --&gt;
    &lt;!-- Begin Block Tagged Note 6 - fis:VentureDisclosureTextBlock--&gt;
    &lt;div style="font-family: 'Times New Roman',Times,serif"&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&lt;b&gt;(6)&amp;#160;Brazilian Venture&lt;/b&gt;
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;In March&amp;#160;2006, we entered into an agreement with ABN AMRO Real (&amp;#8220;ABN&amp;#8221;) and Banco Bradesco
    S.A. (&amp;#8220;Bradesco&amp;#8221;) (collectively, &amp;#8220;banks&amp;#8221;) to form a venture (the &amp;#8220;Brazilian Venture&amp;#8221;), to provide
    comprehensive, fully outsourced card processing services to Brazilian card issuers. In exchange for
    a 51% controlling interest in the venture, we contributed our existing Brazilian card processing
    business contracts and Brazilian card processing infrastructure and made enhancements to our card
    processing system to meet the needs of the banks and their affiliates. The banks executed long-term
    contracts to process their card portfolios with the venture in exchange for an aggregate 49%
    interest. The accounting entries for this transaction were recorded during 2008 when certain
    walkaway rights lapsed, resulting in the establishment of a contract intangible asset of
    $224.2&amp;#160;million and a liability for amounts payable to the banks upon final migration of their
    respective card portfolios and achieving targeted volumes (the &amp;#8220;Brazilian Venture Notes&amp;#8221;). This
    related party payable was $47.9&amp;#160;million and $73.0&amp;#160;million at December&amp;#160;31, 2010 and 2009,
    respectively.
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;During 2009, after a downstream merger of legal entities in Brazil that pushed tax deductible
    goodwill into the venture, we determined that the contract intangible asset established in 2008
    created a deferred tax liability of $73.2&amp;#160;million due to a tax basis lower than the book value
    recorded. Furthermore, the tax deductible goodwill within the venture should have had the impact of
    increasing the enterprise valuation used to determine the fair value of the acquired contracts. The
    impact of these two items increased the amount that should have been recorded for the contract
    intangible by a total of $83.8&amp;#160;million. The deferred tax liability and the contract intangible
    balances were adjusted by these amounts as of December&amp;#160;31, 2009. The incremental value assigned to
    the intangible asset will result in additional amortization, to be recorded as a reduction in
    revenue.
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;During the third quarter of 2008, Banco Santander acquired majority control of ABN. Subsequent
    thereto, Banco Santander publicly stated its intention to consolidate all Brazilian card processing
    operations onto its own in-house technology platform, and notified the Brazilian Venture during
    2009 of its desire to exit the relationship. In late January&amp;#160;2010, Banco Santander ceased
    processing its card portfolio on the Brazilian Venture&amp;#8217;s systems, and in August&amp;#160;2010, all documents
    required to effect a mutually agreeable exit for Banco Santander were executed.
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;Under the terms of the exit agreements, Banco Santander relinquished its ownership in the
    Brazilian Venture. Banco Santander paid a termination fee of approximately $83.3&amp;#160;million directly
    to FIS, which is included in processing and services revenues for the year ended December&amp;#160;31, 2010.
    Brazilian Venture Notes were forgiven in the amount of $19.4&amp;#160;million, representing Banco
    Santander&amp;#8217;s pro rata interest therein. Certain capitalized software development costs incurred
    exclusively for use in processing Banco Santander card activity with a net unamortized balance of
    $14.6&amp;#160;million were written off. In addition, $140.3&amp;#160;million, representing the portion of the
    unamortized contract intangible asset recorded at the initiation of the Brazilian Venture that was
    attributable to Banco Santander, was deemed impaired due to the exit of Banco Santander and charged
    to amortization expense. As a result of the above transactions, we recorded $50.1&amp;#160;million after-tax
    as non-controlling interest loss representing our minority partner&amp;#8217;s share of the write-offs.
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;The net impact of the items noted above resulted in an increase in net earnings
    attributable to FIS common stockholders for 2010 of approximately $17.2&amp;#160;million or $0.05 per share,
    and is summarized as follows (in millions):
    &lt;/div&gt;
    &lt;div align="center"&gt;
    &lt;table style="font-size: 10pt; text-align: left" cellspacing="0" border="0" cellpadding="0" width="100%"&gt;
    &lt;!-- Begin Table Head --&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td width="36%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="47%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="3%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="3%"&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr style="font-size: 8pt" valign="bottom"&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" style="border-bottom: 1px solid #000000"&gt;Statement of Earnings Classification&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;!-- End Table Head --&gt;
    &lt;!-- Begin Table Body --&gt;
    &lt;tr valign="bottom" style="background: #cceeff"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Cash Item:
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Receipt of termination fee
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;Processing and services revenue&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;$&lt;/td&gt;
    &lt;td align="right"&gt;83.3&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;&lt;!-- Blank Space --&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;&amp;#160;
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom" style="background: #cceeff"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Non-cash Items:
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Write-down of notes payable
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;Other income (expense)&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;19.4&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom" style="background: #cceeff"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Write-off of capitalized software
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;Impairment charges&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;14.6&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Write-down of contract intangible
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;Impairment charges&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;140.3&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;&lt;!-- Blank Space --&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;&amp;#160;
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom" style="background: #cceeff"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Income tax effect of above items
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;Provision for income taxes&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="right"&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;(19.3&lt;/td&gt;
    &lt;td nowrap="nowrap"&gt;)&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;&lt;!-- Blank Space --&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;&amp;#160;
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td nowrap="nowrap"&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Minority partner&amp;#8217;s share of write-downs, net of tax
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;Net (earnings) loss attributable to noncontrolling interest&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;50.1&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;&lt;!-- Blank Space --&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;&amp;#160;
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom" style="background: #cceeff"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Net impact on earnings attributable
    to FIS common stockholders
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="left" valign="top"&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;17.2&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;!-- End Table Body --&gt;
    &lt;/table&gt;
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;Certain terms of the Brazilian Venture were subsequently renegotiated between Banco Bradesco
    and FIS and were memorialized in an Amended Association Agreement in November&amp;#160;2010. Among other
    things, the payout for the Brazilian Venture Notes was extended over a ten-year period, resulting
    in a reduction to the recorded present-value of the obligation and related extinguishment gain in
    the amount of $5.7&amp;#160;million. FIS continues to own 51% of the Brazilian Venture and retained control
    such that we will continue to consolidate the Brazilian Venture&amp;#8217;s results.
    &lt;/div&gt;
    &lt;!-- Folio --&gt;
    &lt;!-- /Folio --&gt;
    &lt;/div&gt;
    &lt;!-- PAGEBREAK --&gt;
    &lt;div style="font-family: 'Times New Roman',Times,serif"&gt;
    &lt;div align="center" style="font-size: 10pt; margin-top: 0pt"&gt;
    &lt;b&gt;
    &lt;/b&gt;
    &lt;/div&gt;
    &lt;div align="center" style="font-size: 10pt; margin-top: 0pt"&gt;
    &lt;b&gt;
    &lt;/b&gt;
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;The Brazilian Venture currently processes approximately 40&amp;#160;million cards for clients in
    Brazil and provides call center, cardholder support and collection services for their card
    portfolios. Additionally, we are still performing call center and cardholder support for Banco
    Santander.
    &lt;/div&gt;
    &lt;/div&gt;
  </NonNumbericText><NonNumericTextHeader>&lt;!--DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd" --&gt;
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