Finding the Fourth Proportional to 408,929,861,780.53, 613,394,792,712.99 and 136,654,110,716.24
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Solution
The fourth proportional to 408,929,861,780.53, 613,394,792,712.99 and 136,654,110,716.24 is: 204,981,166,088.46
Step by Step Solution
- Step 1: Write the proportion equation
408,929,861,780.53 : 613,394,792,712.99 = 136,654,110,716.24 : x - Step 2: Convert to fraction form
408,929,861,780.53/613,394,792,712.99 = 136,654,110,716.24/x - Step 3: Cross multiply
408,929,861,780.53x = 613,394,792,712.99 × 136,654,110,716.24 - Step 4: Simplify right side
408,929,861,780.53x = 83,822,919,916,166,024,527,872 - Step 5: Solve for x
x = 83,822,919,916,166,024,527,872/408,929,861,780.53 - Step 6: Final answer
x = 204,981,166,088.46
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.