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Finding the Fourth Proportional to 3,188,103,624,818, 4,782,155,437,227 and 3,188,103,624,818

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Solution

The fourth proportional to 3,188,103,624,818, 4,782,155,437,227 and 3,188,103,624,818 is: 4,782,155,437,227

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,818 : 4,782,155,437,227 = 3,188,103,624,818 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,818/4,782,155,437,227 = 3,188,103,624,818/x
  3. Step 3: Cross multiply
    3,188,103,624,818x = 4,782,155,437,227 × 3,188,103,624,818
  4. Step 4: Simplify right side
    3,188,103,624,818x = 15,246,007,083,866,505,946,857,472
  5. Step 5: Solve for x
    x = 15,246,007,083,866,505,946,857,472/3,188,103,624,818
  6. Step 6: Final answer
    x = 4,782,155,437,227

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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.