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Finding the Fourth Proportional to 327,564,522,768.15, 491,346,784,152.23 and 327,564,522,768.15

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Solution

The fourth proportional to 327,564,522,768.15, 491,346,784,152.23 and 327,564,522,768.15 is: 491,346,784,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564,522,768.15 : 491,346,784,152.23 = 327,564,522,768.15 : x
  2. Step 2: Convert to fraction form
    327,564,522,768.15/491,346,784,152.23 = 327,564,522,768.15/x
  3. Step 3: Cross multiply
    327,564,522,768.15x = 491,346,784,152.23 × 327,564,522,768.15
  4. Step 4: Simplify right side
    327,564,522,768.15x = 160,947,774,864,490,428,891,136
  5. Step 5: Solve for x
    x = 160,947,774,864,490,428,891,136/327,564,522,768.15
  6. Step 6: Final answer
    x = 491,346,784,152.23

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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.