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Finding the Fourth Proportional to 280,181,337.30, 420,272,005.95 and 280,181,337.30

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Solution

The fourth proportional to 280,181,337.30, 420,272,005.95 and 280,181,337.30 is: 420,272,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,181,337.30 : 420,272,005.95 = 280,181,337.30 : x
  2. Step 2: Convert to fraction form
    280,181,337.30/420,272,005.95 = 280,181,337.30/x
  3. Step 3: Cross multiply
    280,181,337.30x = 420,272,005.95 × 280,181,337.30
  4. Step 4: Simplify right side
    280,181,337.30x = 117,752,372,656,824,560
  5. Step 5: Solve for x
    x = 117,752,372,656,824,560/280,181,337.30
  6. Step 6: Final answer
    x = 420,272,005.95

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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.