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Finding the Fourth Proportional to 3,188,103,624,456, 4,782,155,436,684 and 3,188,103,624,456

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Solution

The fourth proportional to 3,188,103,624,456, 4,782,155,436,684 and 3,188,103,624,456 is: 4,782,155,436,684

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,456 : 4,782,155,436,684 = 3,188,103,624,456 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,456/4,782,155,436,684 = 3,188,103,624,456/x
  3. Step 3: Cross multiply
    3,188,103,624,456x = 4,782,155,436,684 × 3,188,103,624,456
  4. Step 4: Simplify right side
    3,188,103,624,456x = 15,246,007,080,404,225,435,369,472
  5. Step 5: Solve for x
    x = 15,246,007,080,404,225,435,369,472/3,188,103,624,456
  6. Step 6: Final answer
    x = 4,782,155,436,684

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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.