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Finding the Fourth Proportional to 218,373,976,803.60, 327,560,965,205.40 and 218,373,976,803.60

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Solution

The fourth proportional to 218,373,976,803.60, 327,560,965,205.40 and 218,373,976,803.60 is: 327,560,965,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,373,976,803.60 : 327,560,965,205.40 = 218,373,976,803.60 : x
  2. Step 2: Convert to fraction form
    218,373,976,803.60/327,560,965,205.40 = 218,373,976,803.60/x
  3. Step 3: Cross multiply
    218,373,976,803.60x = 327,560,965,205.40 × 218,373,976,803.60
  4. Step 4: Simplify right side
    218,373,976,803.60x = 71,530,790,617,528,854,904,832
  5. Step 5: Solve for x
    x = 71,530,790,617,528,854,904,832/218,373,976,803.60
  6. Step 6: Final answer
    x = 327,560,965,205.40

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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.