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Finding the Fourth Proportional to 3,188,103,625,036, 4,782,155,437,554 and 3,188,103,625,036

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Solution

The fourth proportional to 3,188,103,625,036, 4,782,155,437,554 and 3,188,103,625,036 is: 4,782,155,437,554

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,625,036 : 4,782,155,437,554 = 3,188,103,625,036 : x
  2. Step 2: Convert to fraction form
    3,188,103,625,036/4,782,155,437,554 = 3,188,103,625,036/x
  3. Step 3: Cross multiply
    3,188,103,625,036x = 4,782,155,437,554 × 3,188,103,625,036
  4. Step 4: Simplify right side
    3,188,103,625,036x = 15,246,007,085,951,525,737,988,096
  5. Step 5: Solve for x
    x = 15,246,007,085,951,525,737,988,096/3,188,103,625,036
  6. Step 6: Final answer
    x = 4,782,155,437,554

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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.