Finding the Fourth Proportional to 17,932,072,866,663, 24,746,284,420,123 and 9,710,739,756,676
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Solution
The fourth proportional to 17,932,072,866,663, 24,746,284,420,123 and 9,710,739,756,676 is: 13,400,833,787,333.30
Step by Step Solution
- Step 1: Write the proportion equation
17,932,072,866,663 : 24,746,284,420,123 = 9,710,739,756,676 : x - Step 2: Convert to fraction form
17,932,072,866,663/24,746,284,420,123 = 9,710,739,756,676/x - Step 3: Cross multiply
17,932,072,866,663x = 24,746,284,420,123 × 9,710,739,756,676 - Step 4: Simplify right side
17,932,072,866,663x = 240,304,727,948,500,304,197,058,560 - Step 5: Solve for x
x = 240,304,727,948,500,304,197,058,560/17,932,072,866,663 - Step 6: Final answer
x = 13,400,833,787,333.30
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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.