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Finding the Fourth Proportional to 275,647,764.90, 413,471,647.35 and 275,647,764.90

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Solution

The fourth proportional to 275,647,764.90, 413,471,647.35 and 275,647,764.90 is: 413,471,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,647,764.90 : 413,471,647.35 = 275,647,764.90 : x
  2. Step 2: Convert to fraction form
    275,647,764.90/413,471,647.35 = 275,647,764.90/x
  3. Step 3: Cross multiply
    275,647,764.90x = 413,471,647.35 × 275,647,764.90
  4. Step 4: Simplify right side
    275,647,764.90x = 113,972,535,441,548,512
  5. Step 5: Solve for x
    x = 113,972,535,441,548,512/275,647,764.90
  6. Step 6: Final answer
    x = 413,471,647.35

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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.