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Finding the Fourth Proportional to 3,188,103,628,678, 4,782,155,443,017 and 3,188,103,628,678

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Solution

The fourth proportional to 3,188,103,628,678, 4,782,155,443,017 and 3,188,103,628,678 is: 4,782,155,443,017

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,628,678 : 4,782,155,443,017 = 3,188,103,628,678 : x
  2. Step 2: Convert to fraction form
    3,188,103,628,678/4,782,155,443,017 = 3,188,103,628,678/x
  3. Step 3: Cross multiply
    3,188,103,628,678x = 4,782,155,443,017 × 3,188,103,628,678
  4. Step 4: Simplify right side
    3,188,103,628,678x = 15,246,007,120,784,745,595,666,432
  5. Step 5: Solve for x
    x = 15,246,007,120,784,745,595,666,432/3,188,103,628,678
  6. Step 6: Final answer
    x = 4,782,155,443,017

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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.