Finding the Fourth Proportional to 671,797,531,175.96, 1,008,413,402,376.20 and 289,530,256,792.48
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Solution
The fourth proportional to 671,797,531,175.96, 1,008,413,402,376.20 and 289,530,256,792.48 is: 434,604,442,251.94
Step by Step Solution
- Step 1: Write the proportion equation
671,797,531,175.96 : 1,008,413,402,376.20 = 289,530,256,792.48 : x - Step 2: Convert to fraction form
671,797,531,175.96/1,008,413,402,376.20 = 289,530,256,792.48/x - Step 3: Cross multiply
671,797,531,175.96x = 1,008,413,402,376.20 × 289,530,256,792.48 - Step 4: Simplify right side
671,797,531,175.96x = 291,966,191,342,959,626,027,008 - Step 5: Solve for x
x = 291,966,191,342,959,626,027,008/671,797,531,175.96 - Step 6: Final answer
x = 434,604,442,251.94
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.