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Finding the Fourth Proportional to 3,982,104,002.10, 5,564,614,389.90 and 3,982,104,002.10

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Solution

The fourth proportional to 3,982,104,002.10, 5,564,614,389.90 and 3,982,104,002.10 is: 5,564,614,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982,104,002.10 : 5,564,614,389.90 = 3,982,104,002.10 : x
  2. Step 2: Convert to fraction form
    3,982,104,002.10/5,564,614,389.90 = 3,982,104,002.10/x
  3. Step 3: Cross multiply
    3,982,104,002.10x = 5,564,614,389.90 × 3,982,104,002.10
  4. Step 4: Simplify right side
    3,982,104,002.10x = 22,158,873,232,164,036,608
  5. Step 5: Solve for x
    x = 22,158,873,232,164,036,608/3,982,104,002.10
  6. Step 6: Final answer
    x = 5,564,614,389.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.