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Finding the Fourth Proportional to 3,188,103,625,603, 4,782,155,438,404.50 and 3,188,103,625,603

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Solution

The fourth proportional to 3,188,103,625,603, 4,782,155,438,404.50 and 3,188,103,625,603 is: 4,782,155,438,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,625,603 : 4,782,155,438,404.50 = 3,188,103,625,603 : x
  2. Step 2: Convert to fraction form
    3,188,103,625,603/4,782,155,438,404.50 = 3,188,103,625,603/x
  3. Step 3: Cross multiply
    3,188,103,625,603x = 4,782,155,438,404.50 × 3,188,103,625,603
  4. Step 4: Simplify right side
    3,188,103,625,603x = 15,246,007,091,374,491,032,354,816
  5. Step 5: Solve for x
    x = 15,246,007,091,374,491,032,354,816/3,188,103,625,603
  6. Step 6: Final answer
    x = 4,782,155,438,404.50

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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.