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Finding the Fourth Proportional to 18,162,016,200.95, 27,243,024,301.43 and 18,162,016,200.95

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Solution

The fourth proportional to 18,162,016,200.95, 27,243,024,301.43 and 18,162,016,200.95 is: 27,243,024,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162,016,200.95 : 27,243,024,301.43 = 18,162,016,200.95 : x
  2. Step 2: Convert to fraction form
    18,162,016,200.95/27,243,024,301.43 = 18,162,016,200.95/x
  3. Step 3: Cross multiply
    18,162,016,200.95x = 27,243,024,301.43 × 18,162,016,200.95
  4. Step 4: Simplify right side
    18,162,016,200.95x = 494,788,248,725,355,429,888
  5. Step 5: Solve for x
    x = 494,788,248,725,355,429,888/18,162,016,200.95
  6. Step 6: Final answer
    x = 27,243,024,301.43

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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.