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Finding the Fourth Proportional to 327,561,016,504.53, 491,341,524,756.79 and 327,561,016,504.53

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Solution

The fourth proportional to 327,561,016,504.53, 491,341,524,756.79 and 327,561,016,504.53 is: 491,341,524,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,561,016,504.53 : 491,341,524,756.79 = 327,561,016,504.53 : x
  2. Step 2: Convert to fraction form
    327,561,016,504.53/491,341,524,756.79 = 327,561,016,504.53/x
  3. Step 3: Cross multiply
    327,561,016,504.53x = 491,341,524,756.79 × 327,561,016,504.53
  4. Step 4: Simplify right side
    327,561,016,504.53x = 160,944,329,300,219,827,060,736
  5. Step 5: Solve for x
    x = 160,944,329,300,219,827,060,736/327,561,016,504.53
  6. Step 6: Final answer
    x = 491,341,524,756.79

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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.