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Finding the Fourth Proportional to 2,016,234,874.30, 3,024,352,311.45 and 2,016,234,874.30

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Solution

The fourth proportional to 2,016,234,874.30, 3,024,352,311.45 and 2,016,234,874.30 is: 3,024,352,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,234,874.30 : 3,024,352,311.45 = 2,016,234,874.30 : x
  2. Step 2: Convert to fraction form
    2,016,234,874.30/3,024,352,311.45 = 2,016,234,874.30/x
  3. Step 3: Cross multiply
    2,016,234,874.30x = 3,024,352,311.45 × 2,016,234,874.30
  4. Step 4: Simplify right side
    2,016,234,874.30x = 6,097,804,602,515,304,448
  5. Step 5: Solve for x
    x = 6,097,804,602,515,304,448/2,016,234,874.30
  6. Step 6: Final answer
    x = 3,024,352,311.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.