Finding the Fourth Proportional to 534,747,745,125.10, 802,121,617,687.65 and 534,747,745,125.10
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Solution
The fourth proportional to 534,747,745,125.10, 802,121,617,687.65 and 534,747,745,125.10 is: 802,121,617,687.65
Step by Step Solution
- Step 1: Write the proportion equation
534,747,745,125.10 : 802,121,617,687.65 = 534,747,745,125.10 : x - Step 2: Convert to fraction form
534,747,745,125.10/802,121,617,687.65 = 534,747,745,125.10/x - Step 3: Cross multiply
534,747,745,125.10x = 802,121,617,687.65 × 534,747,745,125.10 - Step 4: Simplify right side
534,747,745,125.10x = 428,932,726,374,568,350,973,952 - Step 5: Solve for x
x = 428,932,726,374,568,350,973,952/534,747,745,125.10 - Step 6: Final answer
x = 802,121,617,687.65
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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.