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Finding the Fourth Proportional to 99,675,231.80, 149,512,847.70 and 99,675,231.80

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Solution

The fourth proportional to 99,675,231.80, 149,512,847.70 and 99,675,231.80 is: 149,512,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,675,231.80 : 149,512,847.70 = 99,675,231.80 : x
  2. Step 2: Convert to fraction form
    99,675,231.80/149,512,847.70 = 99,675,231.80/x
  3. Step 3: Cross multiply
    99,675,231.80x = 149,512,847.70 × 99,675,231.80
  4. Step 4: Simplify right side
    99,675,231.80x = 14,902,727,751,575,596
  5. Step 5: Solve for x
    x = 14,902,727,751,575,596/99,675,231.80
  6. Step 6: Final answer
    x = 149,512,847.70

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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.