Finding the Fourth Proportional to 408,929,861,779.53, 613,394,792,711.49 and 136,654,110,715.24
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Solution
The fourth proportional to 408,929,861,779.53, 613,394,792,711.49 and 136,654,110,715.24 is: 204,981,166,086.96
Step by Step Solution
- Step 1: Write the proportion equation
408,929,861,779.53 : 613,394,792,711.49 = 136,654,110,715.24 : x - Step 2: Convert to fraction form
408,929,861,779.53/613,394,792,711.49 = 136,654,110,715.24/x - Step 3: Cross multiply
408,929,861,779.53x = 613,394,792,711.49 × 136,654,110,715.24 - Step 4: Simplify right side
408,929,861,779.53x = 83,822,919,915,347,648,708,608 - Step 5: Solve for x
x = 83,822,919,915,347,648,708,608/408,929,861,779.53 - Step 6: Final answer
x = 204,981,166,086.96
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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.