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Finding the Fourth Proportional to 1,424,952,414.90, 2,134,027,399.92 and 1,424,952,414.90

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Solution

The fourth proportional to 1,424,952,414.90, 2,134,027,399.92 and 1,424,952,414.90 is: 2,134,027,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,952,414.90 : 2,134,027,399.92 = 1,424,952,414.90 : x
  2. Step 2: Convert to fraction form
    1,424,952,414.90/2,134,027,399.92 = 1,424,952,414.90/x
  3. Step 3: Cross multiply
    1,424,952,414.90x = 2,134,027,399.92 × 1,424,952,414.90
  4. Step 4: Simplify right side
    1,424,952,414.90x = 3,040,887,496,978,772,480
  5. Step 5: Solve for x
    x = 3,040,887,496,978,772,480/1,424,952,414.90
  6. Step 6: Final answer
    x = 2,134,027,399.92

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Why These Related Problems?

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