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Finding the Fourth Proportional to 865,754,350.20, 1,194,708,995.61 and 469,268,827.13

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Solution

The fourth proportional to 865,754,350.20, 1,194,708,995.61 and 469,268,827.13 is: 647,573,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,350.20 : 1,194,708,995.61 = 469,268,827.13 : x
  2. Step 2: Convert to fraction form
    865,754,350.20/1,194,708,995.61 = 469,268,827.13/x
  3. Step 3: Cross multiply
    865,754,350.20x = 1,194,708,995.61 × 469,268,827.13
  4. Step 4: Simplify right side
    865,754,350.20x = 560,639,689,125,591,424
  5. Step 5: Solve for x
    x = 560,639,689,125,591,424/865,754,350.20
  6. Step 6: Final answer
    x = 647,573,632.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.