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Finding the Fourth Proportional to 275,647,930.40, 413,471,895.60 and 275,647,930.40

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Solution

The fourth proportional to 275,647,930.40, 413,471,895.60 and 275,647,930.40 is: 413,471,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,647,930.40 : 413,471,895.60 = 275,647,930.40 : x
  2. Step 2: Convert to fraction form
    275,647,930.40/413,471,895.60 = 275,647,930.40/x
  3. Step 3: Cross multiply
    275,647,930.40x = 413,471,895.60 × 275,647,930.40
  4. Step 4: Simplify right side
    275,647,930.40x = 113,972,672,300,704,864
  5. Step 5: Solve for x
    x = 113,972,672,300,704,864/275,647,930.40
  6. Step 6: Final answer
    x = 413,471,895.60

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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.