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Finding the Fourth Proportional to 280,073,414.80, 420,110,122.20 and 252,332,194.60

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Solution

The fourth proportional to 280,073,414.80, 420,110,122.20 and 252,332,194.60 is: 378,498,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,073,414.80 : 420,110,122.20 = 252,332,194.60 : x
  2. Step 2: Convert to fraction form
    280,073,414.80/420,110,122.20 = 252,332,194.60/x
  3. Step 3: Cross multiply
    280,073,414.80x = 420,110,122.20 × 252,332,194.60
  4. Step 4: Simplify right side
    280,073,414.80x = 106,007,309,108,400,176
  5. Step 5: Solve for x
    x = 106,007,309,108,400,176/280,073,414.80
  6. Step 6: Final answer
    x = 378,498,291.90

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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.