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Finding the Fourth Proportional to 3,188,103,624,003, 4,782,155,436,004 and 3,188,103,624,003

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Solution

The fourth proportional to 3,188,103,624,003, 4,782,155,436,004 and 3,188,103,624,003 is: 4,782,155,436,004

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,003 : 4,782,155,436,004 = 3,188,103,624,003 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,003/4,782,155,436,004 = 3,188,103,624,003/x
  3. Step 3: Cross multiply
    3,188,103,624,003x = 4,782,155,436,004 × 3,188,103,624,003
  4. Step 4: Simplify right side
    3,188,103,624,003x = 15,246,007,076,069,999,990,800,384
  5. Step 5: Solve for x
    x = 15,246,007,076,069,999,990,800,384/3,188,103,624,003
  6. Step 6: Final answer
    x = 4,782,155,436,004

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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.