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Finding the Fourth Proportional to 5,505,200.78, 8,257,801.17 and 5,505,200.78

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Solution

The fourth proportional to 5,505,200.78, 8,257,801.17 and 5,505,200.78 is: 8,257,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505,200.78 : 8,257,801.17 = 5,505,200.78 : x
  2. Step 2: Convert to fraction form
    5,505,200.78/8,257,801.17 = 5,505,200.78/x
  3. Step 3: Cross multiply
    5,505,200.78x = 8,257,801.17 × 5,505,200.78
  4. Step 4: Simplify right side
    5,505,200.78x = 45,460,853,400,879.91
  5. Step 5: Solve for x
    x = 45,460,853,400,879.91/5,505,200.78
  6. Step 6: Final answer
    x = 8,257,801.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.