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Finding the Fourth Proportional to 1,324,992,003.85, 1,987,488,005.78 and 1,324,992,003.85

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Solution

The fourth proportional to 1,324,992,003.85, 1,987,488,005.78 and 1,324,992,003.85 is: 1,987,488,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,992,003.85 : 1,987,488,005.78 = 1,324,992,003.85 : x
  2. Step 2: Convert to fraction form
    1,324,992,003.85/1,987,488,005.78 = 1,324,992,003.85/x
  3. Step 3: Cross multiply
    1,324,992,003.85x = 1,987,488,005.78 × 1,324,992,003.85
  4. Step 4: Simplify right side
    1,324,992,003.85x = 2,633,405,715,406,282,240
  5. Step 5: Solve for x
    x = 2,633,405,715,406,282,240/1,324,992,003.85
  6. Step 6: Final answer
    x = 1,987,488,005.78

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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.