Finding the Fourth Proportional to 17,932,072,866,662, 24,746,284,420,122 and 9,710,739,756,675
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Solution
The fourth proportional to 17,932,072,866,662, 24,746,284,420,122 and 9,710,739,756,675 is: 13,400,833,787,332.13
Step by Step Solution
- Step 1: Write the proportion equation
17,932,072,866,662 : 24,746,284,420,122 = 9,710,739,756,675 : x - Step 2: Convert to fraction form
17,932,072,866,662/24,746,284,420,122 = 9,710,739,756,675/x - Step 3: Cross multiply
17,932,072,866,662x = 24,746,284,420,122 × 9,710,739,756,675 - Step 4: Simplify right side
17,932,072,866,662x = 240,304,727,948,465,841,379,475,456 - Step 5: Solve for x
x = 240,304,727,948,465,841,379,475,456/17,932,072,866,662 - Step 6: Final answer
x = 13,400,833,787,332.13
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.