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Finding the Fourth Proportional to 2,005,694,784,134.20, 3,008,542,176,201.10 and 2,005,694,784,134.20

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Solution

The fourth proportional to 2,005,694,784,134.20, 3,008,542,176,201.10 and 2,005,694,784,134.20 is: 3,008,542,176,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,694,784,134.20 : 3,008,542,176,201.10 = 2,005,694,784,134.20 : x
  2. Step 2: Convert to fraction form
    2,005,694,784,134.20/3,008,542,176,201.10 = 2,005,694,784,134.20/x
  3. Step 3: Cross multiply
    2,005,694,784,134.20x = 3,008,542,176,201.10 × 2,005,694,784,134.20
  4. Step 4: Simplify right side
    2,005,694,784,134.20x = 6,034,217,350,654,301,720,018,944
  5. Step 5: Solve for x
    x = 6,034,217,350,654,301,720,018,944/2,005,694,784,134.20
  6. Step 6: Final answer
    x = 3,008,542,176,201.10

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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.