Finding the Fourth Proportional to 543,847,711,920.84, 750,512,175,724.14 and 296,655,377,470.30
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Solution
The fourth proportional to 543,847,711,920.84, 750,512,175,724.14 and 296,655,377,470.30 is: 409,385,693,651.51
Step by Step Solution
- Step 1: Write the proportion equation
543,847,711,920.84 : 750,512,175,724.14 = 296,655,377,470.30 : x - Step 2: Convert to fraction form
543,847,711,920.84/750,512,175,724.14 = 296,655,377,470.30/x - Step 3: Cross multiply
543,847,711,920.84x = 750,512,175,724.14 × 296,655,377,470.30 - Step 4: Simplify right side
543,847,711,920.84x = 222,643,472,785,500,882,862,080 - Step 5: Solve for x
x = 222,643,472,785,500,882,862,080/543,847,711,920.84 - Step 6: Final answer
x = 409,385,693,651.51
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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.