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Finding the Fourth Proportional to 327,564,524,329.53, 491,346,786,494.29 and 327,564,524,329.53

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Solution

The fourth proportional to 327,564,524,329.53, 491,346,786,494.29 and 327,564,524,329.53 is: 491,346,786,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564,524,329.53 : 491,346,786,494.29 = 327,564,524,329.53 : x
  2. Step 2: Convert to fraction form
    327,564,524,329.53/491,346,786,494.29 = 327,564,524,329.53/x
  3. Step 3: Cross multiply
    327,564,524,329.53x = 491,346,786,494.29 × 327,564,524,329.53
  4. Step 4: Simplify right side
    327,564,524,329.53x = 160,947,776,398,845,248,798,720
  5. Step 5: Solve for x
    x = 160,947,776,398,845,248,798,720/327,564,524,329.53
  6. Step 6: Final answer
    x = 491,346,786,494.29

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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.