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Finding the Fourth Proportional to 269,472,005.20, 404,208,007.80 and 147,027,998.80

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Solution

The fourth proportional to 269,472,005.20, 404,208,007.80 and 147,027,998.80 is: 220,541,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,472,005.20 : 404,208,007.80 = 147,027,998.80 : x
  2. Step 2: Convert to fraction form
    269,472,005.20/404,208,007.80 = 147,027,998.80/x
  3. Step 3: Cross multiply
    269,472,005.20x = 404,208,007.80 × 147,027,998.80
  4. Step 4: Simplify right side
    269,472,005.20x = 59,429,894,485,768,800
  5. Step 5: Solve for x
    x = 59,429,894,485,768,800/269,472,005.20
  6. Step 6: Final answer
    x = 220,541,998.20

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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.