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Finding the Fourth Proportional to 865,754,316.28, 1,194,708,948.85 and 469,268,793.19

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Solution

The fourth proportional to 865,754,316.28, 1,194,708,948.85 and 469,268,793.19 is: 647,573,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,316.28 : 1,194,708,948.85 = 469,268,793.19 : x
  2. Step 2: Convert to fraction form
    865,754,316.28/1,194,708,948.85 = 469,268,793.19/x
  3. Step 3: Cross multiply
    865,754,316.28x = 1,194,708,948.85 × 469,268,793.19
  4. Step 4: Simplify right side
    865,754,316.28x = 560,639,626,640,132,864
  5. Step 5: Solve for x
    x = 560,639,626,640,132,864/865,754,316.28
  6. Step 6: Final answer
    x = 647,573,585.37

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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.