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Finding the Fourth Proportional to 327,560,294,253.91, 491,340,441,380.85 and 327,560,294,253.91

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Solution

The fourth proportional to 327,560,294,253.91, 491,340,441,380.85 and 327,560,294,253.91 is: 491,340,441,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,294,253.91 : 491,340,441,380.85 = 327,560,294,253.91 : x
  2. Step 2: Convert to fraction form
    327,560,294,253.91/491,340,441,380.85 = 327,560,294,253.91/x
  3. Step 3: Cross multiply
    327,560,294,253.91x = 491,340,441,380.85 × 327,560,294,253.91
  4. Step 4: Simplify right side
    327,560,294,253.91x = 160,943,619,557,557,230,632,960
  5. Step 5: Solve for x
    x = 160,943,619,557,557,230,632,960/327,560,294,253.91
  6. Step 6: Final answer
    x = 491,340,441,380.85

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1.5x scale

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.