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Finding the Fourth Proportional to 402,226,909.80, 603,340,364.70 and 218,560,900.20

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Solution

The fourth proportional to 402,226,909.80, 603,340,364.70 and 218,560,900.20 is: 327,841,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,226,909.80 : 603,340,364.70 = 218,560,900.20 : x
  2. Step 2: Convert to fraction form
    402,226,909.80/603,340,364.70 = 218,560,900.20/x
  3. Step 3: Cross multiply
    402,226,909.80x = 603,340,364.70 × 218,560,900.20
  4. Step 4: Simplify right side
    402,226,909.80x = 131,866,613,235,828,304
  5. Step 5: Solve for x
    x = 131,866,613,235,828,304/402,226,909.80
  6. Step 6: Final answer
    x = 327,841,350.30

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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.