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Finding the Fourth Proportional to 3,188,103,624,808, 4,782,155,437,212 and 3,188,103,624,808

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Solution

The fourth proportional to 3,188,103,624,808, 4,782,155,437,212 and 3,188,103,624,808 is: 4,782,155,437,212

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,808 : 4,782,155,437,212 = 3,188,103,624,808 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,808/4,782,155,437,212 = 3,188,103,624,808/x
  3. Step 3: Cross multiply
    3,188,103,624,808x = 4,782,155,437,212 × 3,188,103,624,808
  4. Step 4: Simplify right side
    3,188,103,624,808x = 15,246,007,083,770,863,467,626,496
  5. Step 5: Solve for x
    x = 15,246,007,083,770,863,467,626,496/3,188,103,624,808
  6. Step 6: Final answer
    x = 4,782,155,437,212

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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.