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Finding the Fourth Proportional to 853,632,145.20, 1,198,309,866 and 853,632,145.20

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Solution

The fourth proportional to 853,632,145.20, 1,198,309,866 and 853,632,145.20 is: 1,198,309,866

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,632,145.20 : 1,198,309,866 = 853,632,145.20 : x
  2. Step 2: Convert to fraction form
    853,632,145.20/1,198,309,866 = 853,632,145.20/x
  3. Step 3: Cross multiply
    853,632,145.20x = 1,198,309,866 × 853,632,145.20
  4. Step 4: Simplify right side
    853,632,145.20x = 1,022,915,821,527,904,640
  5. Step 5: Solve for x
    x = 1,022,915,821,527,904,640/853,632,145.20
  6. Step 6: Final answer
    x = 1,198,309,866

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.