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Finding the Fourth Proportional to 140,858,944,793.70, 211,288,417,190.55 and 140,858,944,793.70

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Solution

The fourth proportional to 140,858,944,793.70, 211,288,417,190.55 and 140,858,944,793.70 is: 211,288,417,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,858,944,793.70 : 211,288,417,190.55 = 140,858,944,793.70 : x
  2. Step 2: Convert to fraction form
    140,858,944,793.70/211,288,417,190.55 = 140,858,944,793.70/x
  3. Step 3: Cross multiply
    140,858,944,793.70x = 211,288,417,190.55 × 140,858,944,793.70
  4. Step 4: Simplify right side
    140,858,944,793.70x = 29,761,863,492,591,937,388,544
  5. Step 5: Solve for x
    x = 29,761,863,492,591,937,388,544/140,858,944,793.70
  6. Step 6: Final answer
    x = 211,288,417,190.55

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