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Finding the Fourth Proportional to 3,188,103,625,774, 4,782,155,438,660.80 and 3,188,103,625,774

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Solution

The fourth proportional to 3,188,103,625,774, 4,782,155,438,660.80 and 3,188,103,625,774 is: 4,782,155,438,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,625,774 : 4,782,155,438,660.80 = 3,188,103,625,774 : x
  2. Step 2: Convert to fraction form
    3,188,103,625,774/4,782,155,438,660.80 = 3,188,103,625,774/x
  3. Step 3: Cross multiply
    3,188,103,625,774x = 4,782,155,438,660.80 × 3,188,103,625,774
  4. Step 4: Simplify right side
    3,188,103,625,774x = 15,246,007,093,009,348,858,740,736
  5. Step 5: Solve for x
    x = 15,246,007,093,009,348,858,740,736/3,188,103,625,774
  6. Step 6: Final answer
    x = 4,782,155,438,660.80

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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.