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Finding the Fourth Proportional to 327,564,522,793.65, 491,346,784,190.48 and 327,564,522,793.65

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Solution

The fourth proportional to 327,564,522,793.65, 491,346,784,190.48 and 327,564,522,793.65 is: 491,346,784,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564,522,793.65 : 491,346,784,190.48 = 327,564,522,793.65 : x
  2. Step 2: Convert to fraction form
    327,564,522,793.65/491,346,784,190.48 = 327,564,522,793.65/x
  3. Step 3: Cross multiply
    327,564,522,793.65x = 491,346,784,190.48 × 327,564,522,793.65
  4. Step 4: Simplify right side
    327,564,522,793.65x = 160,947,774,889,549,113,589,760
  5. Step 5: Solve for x
    x = 160,947,774,889,549,113,589,760/327,564,522,793.65
  6. Step 6: Final answer
    x = 491,346,784,190.48

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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.