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Finding the Fourth Proportional to 2,016,234,964.05, 3,024,352,446.09 and 2,016,234,964.05

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Solution

The fourth proportional to 2,016,234,964.05, 3,024,352,446.09 and 2,016,234,964.05 is: 3,024,352,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,234,964.05 : 3,024,352,446.09 = 2,016,234,964.05 : x
  2. Step 2: Convert to fraction form
    2,016,234,964.05/3,024,352,446.09 = 2,016,234,964.05/x
  3. Step 3: Cross multiply
    2,016,234,964.05x = 3,024,352,446.09 × 2,016,234,964.05
  4. Step 4: Simplify right side
    2,016,234,964.05x = 6,097,805,145,416,801,280
  5. Step 5: Solve for x
    x = 6,097,805,145,416,801,280/2,016,234,964.05
  6. Step 6: Final answer
    x = 3,024,352,446.09

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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.