Finding the Fourth Proportional to 671,519,136,711.98, 1,006,253,728,986.30 and 398,706,161,598.40
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Solution
The fourth proportional to 671,519,136,711.98, 1,006,253,728,986.30 and 398,706,161,598.40 is: 597,450,675,557.27
Step by Step Solution
- Step 1: Write the proportion equation
671,519,136,711.98 : 1,006,253,728,986.30 = 398,706,161,598.40 : x - Step 2: Convert to fraction form
671,519,136,711.98/1,006,253,728,986.30 = 398,706,161,598.40/x - Step 3: Cross multiply
671,519,136,711.98x = 1,006,253,728,986.30 × 398,706,161,598.40 - Step 4: Simplify right side
671,519,136,711.98x = 401,199,561,878,204,338,667,520 - Step 5: Solve for x
x = 401,199,561,878,204,338,667,520/671,519,136,711.98 - Step 6: Final answer
x = 597,450,675,557.27
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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.