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Finding the Fourth Proportional to 1,000,204,243.33, 1,499,505,217.69 and 475,309,932.15

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Solution

The fourth proportional to 1,000,204,243.33, 1,499,505,217.69 and 475,309,932.15 is: 712,584,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,204,243.33 : 1,499,505,217.69 = 475,309,932.15 : x
  2. Step 2: Convert to fraction form
    1,000,204,243.33/1,499,505,217.69 = 475,309,932.15/x
  3. Step 3: Cross multiply
    1,000,204,243.33x = 1,499,505,217.69 × 475,309,932.15
  4. Step 4: Simplify right side
    1,000,204,243.33x = 712,729,723,278,804,864
  5. Step 5: Solve for x
    x = 712,729,723,278,804,864/1,000,204,243.33
  6. Step 6: Final answer
    x = 712,584,182.71

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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.