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Finding the Fourth Proportional to 266,121,399.60, 399,480,697.80 and 205,804,522.80

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Solution

The fourth proportional to 266,121,399.60, 399,480,697.80 and 205,804,522.80 is: 308,937,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,121,399.60 : 399,480,697.80 = 205,804,522.80 : x
  2. Step 2: Convert to fraction form
    266,121,399.60/399,480,697.80 = 205,804,522.80/x
  3. Step 3: Cross multiply
    266,121,399.60x = 399,480,697.80 × 205,804,522.80
  4. Step 4: Simplify right side
    266,121,399.60x = 82,214,934,378,540,016
  5. Step 5: Solve for x
    x = 82,214,934,378,540,016/266,121,399.60
  6. Step 6: Final answer
    x = 308,937,704.75

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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.