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Finding the Fourth Proportional to 266,496,002.40, 399,744,003.60 and 205,955,176.80

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Solution

The fourth proportional to 266,496,002.40, 399,744,003.60 and 205,955,176.80 is: 308,932,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,496,002.40 : 399,744,003.60 = 205,955,176.80 : x
  2. Step 2: Convert to fraction form
    266,496,002.40/399,744,003.60 = 205,955,176.80/x
  3. Step 3: Cross multiply
    266,496,002.40x = 399,744,003.60 × 205,955,176.80
  4. Step 4: Simplify right side
    266,496,002.40x = 82,329,346,936,177,840
  5. Step 5: Solve for x
    x = 82,329,346,936,177,840/266,496,002.40
  6. Step 6: Final answer
    x = 308,932,765.20

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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.