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Finding the Fourth Proportional to 327,561,016,502.78, 491,341,524,754.16 and 327,561,016,502.78

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Solution

The fourth proportional to 327,561,016,502.78, 491,341,524,754.16 and 327,561,016,502.78 is: 491,341,524,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,561,016,502.78 : 491,341,524,754.16 = 327,561,016,502.78 : x
  2. Step 2: Convert to fraction form
    327,561,016,502.78/491,341,524,754.16 = 327,561,016,502.78/x
  3. Step 3: Cross multiply
    327,561,016,502.78x = 491,341,524,754.16 × 327,561,016,502.78
  4. Step 4: Simplify right side
    327,561,016,502.78x = 160,944,329,298,498,484,699,136
  5. Step 5: Solve for x
    x = 160,944,329,298,498,484,699,136/327,561,016,502.78
  6. Step 6: Final answer
    x = 491,341,524,754.16

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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.