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Finding the Fourth Proportional to 3,188,103,625,057, 4,782,155,437,585.50 and 3,188,103,625,057

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Solution

The fourth proportional to 3,188,103,625,057, 4,782,155,437,585.50 and 3,188,103,625,057 is: 4,782,155,437,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,625,057 : 4,782,155,437,585.50 = 3,188,103,625,057 : x
  2. Step 2: Convert to fraction form
    3,188,103,625,057/4,782,155,437,585.50 = 3,188,103,625,057/x
  3. Step 3: Cross multiply
    3,188,103,625,057x = 4,782,155,437,585.50 × 3,188,103,625,057
  4. Step 4: Simplify right side
    3,188,103,625,057x = 15,246,007,086,152,375,588,618,240
  5. Step 5: Solve for x
    x = 15,246,007,086,152,375,588,618,240/3,188,103,625,057
  6. Step 6: Final answer
    x = 4,782,155,437,585.50

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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.