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Finding the Fourth Proportional to 3,188,103,628,045, 4,782,155,442,067.50 and 3,188,103,628,045

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Solution

The fourth proportional to 3,188,103,628,045, 4,782,155,442,067.50 and 3,188,103,628,045 is: 4,782,155,442,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,628,045 : 4,782,155,442,067.50 = 3,188,103,628,045 : x
  2. Step 2: Convert to fraction form
    3,188,103,628,045/4,782,155,442,067.50 = 3,188,103,628,045/x
  3. Step 3: Cross multiply
    3,188,103,628,045x = 4,782,155,442,067.50 × 3,188,103,628,045
  4. Step 4: Simplify right side
    3,188,103,628,045x = 15,246,007,114,730,538,220,388,352
  5. Step 5: Solve for x
    x = 15,246,007,114,730,538,220,388,352/3,188,103,628,045
  6. Step 6: Final answer
    x = 4,782,155,442,067.50

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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.