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Finding the Fourth Proportional to 126,113,643.70, 189,170,465.55 and 126,113,643.70

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Solution

The fourth proportional to 126,113,643.70, 189,170,465.55 and 126,113,643.70 is: 189,170,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,113,643.70 : 189,170,465.55 = 126,113,643.70 : x
  2. Step 2: Convert to fraction form
    126,113,643.70/189,170,465.55 = 126,113,643.70/x
  3. Step 3: Cross multiply
    126,113,643.70x = 189,170,465.55 × 126,113,643.70
  4. Step 4: Simplify right side
    126,113,643.70x = 23,856,976,690,935,828
  5. Step 5: Solve for x
    x = 23,856,976,690,935,828/126,113,643.70
  6. Step 6: Final answer
    x = 189,170,465.55

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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.