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Finding the Fourth Proportional to 18,162,015,100.20, 27,243,022,650.30 and 18,162,015,100.20

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Solution

The fourth proportional to 18,162,015,100.20, 27,243,022,650.30 and 18,162,015,100.20 is: 27,243,022,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162,015,100.20 : 27,243,022,650.30 = 18,162,015,100.20 : x
  2. Step 2: Convert to fraction form
    18,162,015,100.20/27,243,022,650.30 = 18,162,015,100.20/x
  3. Step 3: Cross multiply
    18,162,015,100.20x = 27,243,022,650.30 × 18,162,015,100.20
  4. Step 4: Simplify right side
    18,162,015,100.20x = 494,788,188,749,839,204,352
  5. Step 5: Solve for x
    x = 494,788,188,749,839,204,352/18,162,015,100.20
  6. Step 6: Final answer
    x = 27,243,022,650.30

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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.