Finding the Fourth Proportional to 37,944,815,012,320, 52,371,354,332,344 and 24,612,660,482,566
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Solution
The fourth proportional to 37,944,815,012,320, 52,371,354,332,344 and 24,612,660,482,566 is: 33,970,342,529,687.66
Step by Step Solution
- Step 1: Write the proportion equation
37,944,815,012,320 : 52,371,354,332,344 = 24,612,660,482,566 : x - Step 2: Convert to fraction form
37,944,815,012,320/52,371,354,332,344 = 24,612,660,482,566/x - Step 3: Cross multiply
37,944,815,012,320x = 52,371,354,332,344 × 24,612,660,482,566 - Step 4: Simplify right side
37,944,815,012,320x = 1,288,998,363,194,144,950,230,974,464 - Step 5: Solve for x
x = 1,288,998,363,194,144,950,230,974,464/37,944,815,012,320 - Step 6: Final answer
x = 33,970,342,529,687.66
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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.