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Finding the Fourth Proportional to 323,524,512, 485,286,768 and 108,113,760

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Solution

The fourth proportional to 323,524,512, 485,286,768 and 108,113,760 is: 162,170,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,524,512 : 485,286,768 = 108,113,760 : x
  2. Step 2: Convert to fraction form
    323,524,512/485,286,768 = 108,113,760/x
  3. Step 3: Cross multiply
    323,524,512x = 485,286,768 × 108,113,760
  4. Step 4: Simplify right side
    323,524,512x = 52,466,177,166,727,680
  5. Step 5: Solve for x
    x = 52,466,177,166,727,680/323,524,512
  6. Step 6: Final answer
    x = 162,170,640

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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.