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Finding the Fourth Proportional to 2,068,431,340.45, 3,102,647,010.68 and 2,068,431,340.45

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Solution

The fourth proportional to 2,068,431,340.45, 3,102,647,010.68 and 2,068,431,340.45 is: 3,102,647,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,431,340.45 : 3,102,647,010.68 = 2,068,431,340.45 : x
  2. Step 2: Convert to fraction form
    2,068,431,340.45/3,102,647,010.68 = 2,068,431,340.45/x
  3. Step 3: Cross multiply
    2,068,431,340.45x = 3,102,647,010.68 × 2,068,431,340.45
  4. Step 4: Simplify right side
    2,068,431,340.45x = 6,417,612,315,244,017,664
  5. Step 5: Solve for x
    x = 6,417,612,315,244,017,664/2,068,431,340.45
  6. Step 6: Final answer
    x = 3,102,647,010.68

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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.