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Finding the Fourth Proportional to 327,564,524,336.78, 491,346,786,505.16 and 327,564,524,336.78

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Solution

The fourth proportional to 327,564,524,336.78, 491,346,786,505.16 and 327,564,524,336.78 is: 491,346,786,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564,524,336.78 : 491,346,786,505.16 = 327,564,524,336.78 : x
  2. Step 2: Convert to fraction form
    327,564,524,336.78/491,346,786,505.16 = 327,564,524,336.78/x
  3. Step 3: Cross multiply
    327,564,524,336.78x = 491,346,786,505.16 × 327,564,524,336.78
  4. Step 4: Simplify right side
    327,564,524,336.78x = 160,947,776,405,968,150,069,248
  5. Step 5: Solve for x
    x = 160,947,776,405,968,150,069,248/327,564,524,336.78
  6. Step 6: Final answer
    x = 491,346,786,505.16

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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.