Finding the Fourth Proportional to 511,676,945,105.36, 706,136,248,960.20 and 283,306,207,269.42
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Solution
The fourth proportional to 511,676,945,105.36, 706,136,248,960.20 and 283,306,207,269.42 is: 390,974,782,862.61
Step by Step Solution
- Step 1: Write the proportion equation
511,676,945,105.36 : 706,136,248,960.20 = 283,306,207,269.42 : x - Step 2: Convert to fraction form
511,676,945,105.36/706,136,248,960.20 = 283,306,207,269.42/x - Step 3: Cross multiply
511,676,945,105.36x = 706,136,248,960.20 × 283,306,207,269.42 - Step 4: Simplify right side
511,676,945,105.36x = 200,052,782,508,369,145,495,552 - Step 5: Solve for x
x = 200,052,782,508,369,145,495,552/511,676,945,105.36 - Step 6: Final answer
x = 390,974,782,862.61
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.