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Finding the Fourth Proportional to 3,188,103,624,152, 4,782,155,436,228 and 3,188,103,624,152

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Solution

The fourth proportional to 3,188,103,624,152, 4,782,155,436,228 and 3,188,103,624,152 is: 4,782,155,436,228

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,152 : 4,782,155,436,228 = 3,188,103,624,152 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,152/4,782,155,436,228 = 3,188,103,624,152/x
  3. Step 3: Cross multiply
    3,188,103,624,152x = 4,782,155,436,228 × 3,188,103,624,152
  4. Step 4: Simplify right side
    3,188,103,624,152x = 15,246,007,077,496,674,309,898,240
  5. Step 5: Solve for x
    x = 15,246,007,077,496,674,309,898,240/3,188,103,624,152
  6. Step 6: Final answer
    x = 4,782,155,436,228

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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.