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Finding the Fourth Proportional to 1,993,188,002.10, 2,989,782,003.21 and 1,993,188,002.10

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Solution

The fourth proportional to 1,993,188,002.10, 2,989,782,003.21 and 1,993,188,002.10 is: 2,989,782,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,188,002.10 : 2,989,782,003.21 = 1,993,188,002.10 : x
  2. Step 2: Convert to fraction form
    1,993,188,002.10/2,989,782,003.21 = 1,993,188,002.10/x
  3. Step 3: Cross multiply
    1,993,188,002.10x = 2,989,782,003.21 × 1,993,188,002.10
  4. Step 4: Simplify right side
    1,993,188,002.10x = 5,959,197,617,692,675,072
  5. Step 5: Solve for x
    x = 5,959,197,617,692,675,072/1,993,188,002.10
  6. Step 6: Final answer
    x = 2,989,782,003.21

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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.