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Finding the Fourth Proportional to 3,188,103,624,384, 4,782,155,436,576 and 3,188,103,624,384

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Solution

The fourth proportional to 3,188,103,624,384, 4,782,155,436,576 and 3,188,103,624,384 is: 4,782,155,436,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,384 : 4,782,155,436,576 = 3,188,103,624,384 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,384/4,782,155,436,576 = 3,188,103,624,384/x
  3. Step 3: Cross multiply
    3,188,103,624,384x = 4,782,155,436,576 × 3,188,103,624,384
  4. Step 4: Simplify right side
    3,188,103,624,384x = 15,246,007,079,715,596,148,932,608
  5. Step 5: Solve for x
    x = 15,246,007,079,715,596,148,932,608/3,188,103,624,384
  6. Step 6: Final answer
    x = 4,782,155,436,576

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1.5x scale

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.