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Finding the Fourth Proportional to 327,564,522,626.78, 491,346,783,940.17 and 327,564,522,626.78

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Solution

The fourth proportional to 327,564,522,626.78, 491,346,783,940.17 and 327,564,522,626.78 is: 491,346,783,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564,522,626.78 : 491,346,783,940.17 = 327,564,522,626.78 : x
  2. Step 2: Convert to fraction form
    327,564,522,626.78/491,346,783,940.17 = 327,564,522,626.78/x
  3. Step 3: Cross multiply
    327,564,522,626.78x = 491,346,783,940.17 × 327,564,522,626.78
  4. Step 4: Simplify right side
    327,564,522,626.78x = 160,947,774,725,565,416,734,720
  5. Step 5: Solve for x
    x = 160,947,774,725,565,416,734,720/327,564,522,626.78
  6. Step 6: Final answer
    x = 491,346,783,940.17

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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.