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Finding the Fourth Proportional to 3,188,103,651,012, 4,782,155,476,518 and 3,188,103,651,012

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Solution

The fourth proportional to 3,188,103,651,012, 4,782,155,476,518 and 3,188,103,651,012 is: 4,782,155,476,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,651,012 : 4,782,155,476,518 = 3,188,103,651,012 : x
  2. Step 2: Convert to fraction form
    3,188,103,651,012/4,782,155,476,518 = 3,188,103,651,012/x
  3. Step 3: Cross multiply
    3,188,103,651,012x = 4,782,155,476,518 × 3,188,103,651,012
  4. Step 4: Simplify right side
    3,188,103,651,012x = 15,246,007,334,394,065,741,414,400
  5. Step 5: Solve for x
    x = 15,246,007,334,394,065,741,414,400/3,188,103,651,012
  6. Step 6: Final answer
    x = 4,782,155,476,518

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.