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Finding the Fourth Proportional to 4,024,229.60, 5,641,386.40 and 4,024,229.60

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Solution

The fourth proportional to 4,024,229.60, 5,641,386.40 and 4,024,229.60 is: 5,641,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024,229.60 : 5,641,386.40 = 4,024,229.60 : x
  2. Step 2: Convert to fraction form
    4,024,229.60/5,641,386.40 = 4,024,229.60/x
  3. Step 3: Cross multiply
    4,024,229.60x = 5,641,386.40 × 4,024,229.60
  4. Step 4: Simplify right side
    4,024,229.60x = 22,702,234,135,917.44
  5. Step 5: Solve for x
    x = 22,702,234,135,917.44/4,024,229.60
  6. Step 6: Final answer
    x = 5,641,386.40

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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.