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Finding the Fourth Proportional to 3,188,103,625,022, 4,782,155,437,533 and 3,188,103,625,022

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Solution

The fourth proportional to 3,188,103,625,022, 4,782,155,437,533 and 3,188,103,625,022 is: 4,782,155,437,533

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,625,022 : 4,782,155,437,533 = 3,188,103,625,022 : x
  2. Step 2: Convert to fraction form
    3,188,103,625,022/4,782,155,437,533 = 3,188,103,625,022/x
  3. Step 3: Cross multiply
    3,188,103,625,022x = 4,782,155,437,533 × 3,188,103,625,022
  4. Step 4: Simplify right side
    3,188,103,625,022x = 15,246,007,085,817,625,837,568,000
  5. Step 5: Solve for x
    x = 15,246,007,085,817,625,837,568,000/3,188,103,625,022
  6. Step 6: Final answer
    x = 4,782,155,437,533

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1.5x scale

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.