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Finding the Fourth Proportional to 673,693,562.52, 1,010,902,117.40 and 280,491,832

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Solution

The fourth proportional to 673,693,562.52, 1,010,902,117.40 and 280,491,832 is: 420,888,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,693,562.52 : 1,010,902,117.40 = 280,491,832 : x
  2. Step 2: Convert to fraction form
    673,693,562.52/1,010,902,117.40 = 280,491,832/x
  3. Step 3: Cross multiply
    673,693,562.52x = 1,010,902,117.40 × 280,491,832
  4. Step 4: Simplify right side
    673,693,562.52x = 283,549,786,882,205,056
  5. Step 5: Solve for x
    x = 283,549,786,882,205,056/673,693,562.52
  6. Step 6: Final answer
    x = 420,888,372.19

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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.