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Finding the Fourth Proportional to 3,188,103,624,820, 4,782,155,437,230 and 3,188,103,624,820

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Solution

The fourth proportional to 3,188,103,624,820, 4,782,155,437,230 and 3,188,103,624,820 is: 4,782,155,437,230

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,820 : 4,782,155,437,230 = 3,188,103,624,820 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,820/4,782,155,437,230 = 3,188,103,624,820/x
  3. Step 3: Cross multiply
    3,188,103,624,820x = 4,782,155,437,230 × 3,188,103,624,820
  4. Step 4: Simplify right side
    3,188,103,624,820x = 15,246,007,083,885,635,731,193,856
  5. Step 5: Solve for x
    x = 15,246,007,083,885,635,731,193,856/3,188,103,624,820
  6. Step 6: Final answer
    x = 4,782,155,437,230

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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.