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Finding the Fourth Proportional to 1,424,952,323.90, 2,134,027,263.42 and 1,424,952,323.90

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Solution

The fourth proportional to 1,424,952,323.90, 2,134,027,263.42 and 1,424,952,323.90 is: 2,134,027,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,952,323.90 : 2,134,027,263.42 = 1,424,952,323.90 : x
  2. Step 2: Convert to fraction form
    1,424,952,323.90/2,134,027,263.42 = 1,424,952,323.90/x
  3. Step 3: Cross multiply
    1,424,952,323.90x = 2,134,027,263.42 × 1,424,952,323.90
  4. Step 4: Simplify right side
    1,424,952,323.90x = 3,040,887,108,276,286,976
  5. Step 5: Solve for x
    x = 3,040,887,108,276,286,976/1,424,952,323.90
  6. Step 6: Final answer
    x = 2,134,027,263.42

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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.