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Finding the Fourth Proportional to 809,028,002.30, 1,213,542,003.46 and 809,028,002.30

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Solution

The fourth proportional to 809,028,002.30, 1,213,542,003.46 and 809,028,002.30 is: 1,213,542,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,028,002.30 : 1,213,542,003.46 = 809,028,002.30 : x
  2. Step 2: Convert to fraction form
    809,028,002.30/1,213,542,003.46 = 809,028,002.30/x
  3. Step 3: Cross multiply
    809,028,002.30x = 1,213,542,003.46 × 809,028,002.30
  4. Step 4: Simplify right side
    809,028,002.30x = 981,789,462,766,383,488
  5. Step 5: Solve for x
    x = 981,789,462,766,383,488/809,028,002.30
  6. Step 6: Final answer
    x = 1,213,542,003.46

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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.