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Finding the Fourth Proportional to 853,632,215.20, 1,198,309,964 and 853,632,215.20

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Solution

The fourth proportional to 853,632,215.20, 1,198,309,964 and 853,632,215.20 is: 1,198,309,964

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,632,215.20 : 1,198,309,964 = 853,632,215.20 : x
  2. Step 2: Convert to fraction form
    853,632,215.20/1,198,309,964 = 853,632,215.20/x
  3. Step 3: Cross multiply
    853,632,215.20x = 1,198,309,964 × 853,632,215.20
  4. Step 4: Simplify right side
    853,632,215.20x = 1,022,915,989,065,552,256
  5. Step 5: Solve for x
    x = 1,022,915,989,065,552,256/853,632,215.20
  6. Step 6: Final answer
    x = 1,198,309,964

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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.