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Finding the Fourth Proportional to 819,915,025.20, 1,229,872,537.80 and 819,915,025.20

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Solution

The fourth proportional to 819,915,025.20, 1,229,872,537.80 and 819,915,025.20 is: 1,229,872,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,915,025.20 : 1,229,872,537.80 = 819,915,025.20 : x
  2. Step 2: Convert to fraction form
    819,915,025.20/1,229,872,537.80 = 819,915,025.20/x
  3. Step 3: Cross multiply
    819,915,025.20x = 1,229,872,537.80 × 819,915,025.20
  4. Step 4: Simplify right side
    819,915,025.20x = 1,008,390,972,823,074,944
  5. Step 5: Solve for x
    x = 1,008,390,972,823,074,944/819,915,025.20
  6. Step 6: Final answer
    x = 1,229,872,537.80

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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.