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Finding the Fourth Proportional to 224,784,067.80, 337,176,101.70 and 144,162,499.80

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Solution

The fourth proportional to 224,784,067.80, 337,176,101.70 and 144,162,499.80 is: 216,243,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,784,067.80 : 337,176,101.70 = 144,162,499.80 : x
  2. Step 2: Convert to fraction form
    224,784,067.80/337,176,101.70 = 144,162,499.80/x
  3. Step 3: Cross multiply
    224,784,067.80x = 337,176,101.70 × 144,162,499.80
  4. Step 4: Simplify right side
    224,784,067.80x = 48,608,149,693,891,032
  5. Step 5: Solve for x
    x = 48,608,149,693,891,032/224,784,067.80
  6. Step 6: Final answer
    x = 216,243,749.70

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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.