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Finding the Fourth Proportional to 3,188,103,624,256, 4,782,155,436,384 and 3,188,103,624,256

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Solution

The fourth proportional to 3,188,103,624,256, 4,782,155,436,384 and 3,188,103,624,256 is: 4,782,155,436,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,256 : 4,782,155,436,384 = 3,188,103,624,256 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,256/4,782,155,436,384 = 3,188,103,624,256/x
  3. Step 3: Cross multiply
    3,188,103,624,256x = 4,782,155,436,384 × 3,188,103,624,256
  4. Step 4: Simplify right side
    3,188,103,624,256x = 15,246,007,078,491,362,965,848,064
  5. Step 5: Solve for x
    x = 15,246,007,078,491,362,965,848,064/3,188,103,624,256
  6. Step 6: Final answer
    x = 4,782,155,436,384

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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.