Finding the Fourth Proportional to 568,924,420,812.20, 853,436,799,538.80 and 160,514,368,137.70
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Solution
The fourth proportional to 568,924,420,812.20, 853,436,799,538.80 and 160,514,368,137.70 is: 240,785,706,522.96
Step by Step Solution
- Step 1: Write the proportion equation
568,924,420,812.20 : 853,436,799,538.80 = 160,514,368,137.70 : x - Step 2: Convert to fraction form
568,924,420,812.20/853,436,799,538.80 = 160,514,368,137.70/x - Step 3: Cross multiply
568,924,420,812.20x = 853,436,799,538.80 × 160,514,368,137.70 - Step 4: Simplify right side
568,924,420,812.20x = 136,988,868,623,431,431,618,560 - Step 5: Solve for x
x = 136,988,868,623,431,431,618,560/568,924,420,812.20 - Step 6: Final answer
x = 240,785,706,522.96
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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.