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Finding the Fourth Proportional to 801,645,947.10, 1,202,468,920.65 and 801,645,947.10

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Solution

The fourth proportional to 801,645,947.10, 1,202,468,920.65 and 801,645,947.10 is: 1,202,468,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,645,947.10 : 1,202,468,920.65 = 801,645,947.10 : x
  2. Step 2: Convert to fraction form
    801,645,947.10/1,202,468,920.65 = 801,645,947.10/x
  3. Step 3: Cross multiply
    801,645,947.10x = 1,202,468,920.65 × 801,645,947.10
  4. Step 4: Simplify right side
    801,645,947.10x = 963,954,336,752,784,128
  5. Step 5: Solve for x
    x = 963,954,336,752,784,128/801,645,947.10
  6. Step 6: Final answer
    x = 1,202,468,920.65

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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.