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Finding the Fourth Proportional to 278,431,315.20, 417,646,972.80 and 278,431,315.20

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Solution

The fourth proportional to 278,431,315.20, 417,646,972.80 and 278,431,315.20 is: 417,646,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,431,315.20 : 417,646,972.80 = 278,431,315.20 : x
  2. Step 2: Convert to fraction form
    278,431,315.20/417,646,972.80 = 278,431,315.20/x
  3. Step 3: Cross multiply
    278,431,315.20x = 417,646,972.80 × 278,431,315.20
  4. Step 4: Simplify right side
    278,431,315.20x = 116,285,995,926,002,624
  5. Step 5: Solve for x
    x = 116,285,995,926,002,624/278,431,315.20
  6. Step 6: Final answer
    x = 417,646,972.80

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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.