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Finding the Fourth Proportional to 3,188,103,624,404, 4,782,155,436,606.20 and 3,188,103,624,404

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Solution

The fourth proportional to 3,188,103,624,404, 4,782,155,436,606.20 and 3,188,103,624,404 is: 4,782,155,436,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,404 : 4,782,155,436,606.20 = 3,188,103,624,404 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,404/4,782,155,436,606.20 = 3,188,103,624,404/x
  3. Step 3: Cross multiply
    3,188,103,624,404x = 4,782,155,436,606.20 × 3,188,103,624,404
  4. Step 4: Simplify right side
    3,188,103,624,404x = 15,246,007,079,907,518,910,038,016
  5. Step 5: Solve for x
    x = 15,246,007,079,907,518,910,038,016/3,188,103,624,404
  6. Step 6: Final answer
    x = 4,782,155,436,606.20

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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.