Finding the Fourth Proportional to 2,448,891,793,414.20, 3,673,337,690,121.30 and 2,202,044,676,511.80
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Solution
The fourth proportional to 2,448,891,793,414.20, 3,673,337,690,121.30 and 2,202,044,676,511.80 is: 3,303,067,014,767.70
Step by Step Solution
- Step 1: Write the proportion equation
2,448,891,793,414.20 : 3,673,337,690,121.30 = 2,202,044,676,511.80 : x - Step 2: Convert to fraction form
2,448,891,793,414.20/3,673,337,690,121.30 = 2,202,044,676,511.80/x - Step 3: Cross multiply
2,448,891,793,414.20x = 3,673,337,690,121.30 × 2,202,044,676,511.80 - Step 4: Simplify right side
2,448,891,793,414.20x = 8,088,853,705,561,759,880,839,168 - Step 5: Solve for x
x = 8,088,853,705,561,759,880,839,168/2,448,891,793,414.20 - Step 6: Final answer
x = 3,303,067,014,767.70
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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.