Finding the Fourth Proportional to 656,523,502,494.68, 983,502,735,528.84 and 452,280,611,519.96
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Solution
The fourth proportional to 656,523,502,494.68, 983,502,735,528.84 and 452,280,611,519.96 is: 677,537,387,414.61
Step by Step Solution
- Step 1: Write the proportion equation
656,523,502,494.68 : 983,502,735,528.84 = 452,280,611,519.96 : x - Step 2: Convert to fraction form
656,523,502,494.68/983,502,735,528.84 = 452,280,611,519.96/x - Step 3: Cross multiply
656,523,502,494.68x = 983,502,735,528.84 × 452,280,611,519.96 - Step 4: Simplify right side
656,523,502,494.68x = 444,819,218,656,537,232,801,792 - Step 5: Solve for x
x = 444,819,218,656,537,232,801,792/656,523,502,494.68 - Step 6: Final answer
x = 677,537,387,414.61
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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.