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Finding the Fourth Proportional to 2,016,234,464.55, 3,024,351,696.83 and 2,016,234,464.55

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Solution

The fourth proportional to 2,016,234,464.55, 3,024,351,696.83 and 2,016,234,464.55 is: 3,024,351,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,234,464.55 : 3,024,351,696.83 = 2,016,234,464.55 : x
  2. Step 2: Convert to fraction form
    2,016,234,464.55/3,024,351,696.83 = 2,016,234,464.55/x
  3. Step 3: Cross multiply
    2,016,234,464.55x = 3,024,351,696.83 × 2,016,234,464.55
  4. Step 4: Simplify right side
    2,016,234,464.55x = 6,097,802,124,058,836,992
  5. Step 5: Solve for x
    x = 6,097,802,124,058,836,992/2,016,234,464.55
  6. Step 6: Final answer
    x = 3,024,351,696.83

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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.