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Finding the Fourth Proportional to 3,188,103,664,536, 4,782,155,496,804 and 3,188,103,664,536

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Solution

The fourth proportional to 3,188,103,664,536, 4,782,155,496,804 and 3,188,103,664,536 is: 4,782,155,496,804

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,664,536 : 4,782,155,496,804 = 3,188,103,664,536 : x
  2. Step 2: Convert to fraction form
    3,188,103,664,536/4,782,155,496,804 = 3,188,103,664,536/x
  3. Step 3: Cross multiply
    3,188,103,664,536x = 4,782,155,496,804 × 3,188,103,664,536
  4. Step 4: Simplify right side
    3,188,103,664,536x = 15,246,007,463,741,807,633,891,328
  5. Step 5: Solve for x
    x = 15,246,007,463,741,807,633,891,328/3,188,103,664,536
  6. Step 6: Final answer
    x = 4,782,155,496,804

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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.