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Finding the Fourth Proportional to 3,188,103,624,007, 4,782,155,436,010.20 and 3,188,103,624,007

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Solution

The fourth proportional to 3,188,103,624,007, 4,782,155,436,010.20 and 3,188,103,624,007 is: 4,782,155,436,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,007 : 4,782,155,436,010.20 = 3,188,103,624,007 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,007/4,782,155,436,010.20 = 3,188,103,624,007/x
  3. Step 3: Cross multiply
    3,188,103,624,007x = 4,782,155,436,010.20 × 3,188,103,624,007
  4. Step 4: Simplify right side
    3,188,103,624,007x = 15,246,007,076,108,895,214,632,960
  5. Step 5: Solve for x
    x = 15,246,007,076,108,895,214,632,960/3,188,103,624,007
  6. Step 6: Final answer
    x = 4,782,155,436,010.20

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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.