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Finding the Fourth Proportional to 185,643,902.70, 278,465,854.05 and 185,643,902.70

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Solution

The fourth proportional to 185,643,902.70, 278,465,854.05 and 185,643,902.70 is: 278,465,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,643,902.70 : 278,465,854.05 = 185,643,902.70 : x
  2. Step 2: Convert to fraction form
    185,643,902.70/278,465,854.05 = 185,643,902.70/x
  3. Step 3: Cross multiply
    185,643,902.70x = 278,465,854.05 × 185,643,902.70
  4. Step 4: Simplify right side
    185,643,902.70x = 51,695,487,914,530,600
  5. Step 5: Solve for x
    x = 51,695,487,914,530,600/185,643,902.70
  6. Step 6: Final answer
    x = 278,465,854.05

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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.