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Finding the Fourth Proportional to 3,188,103,624,042, 4,782,155,436,063 and 3,188,103,624,042

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Solution

The fourth proportional to 3,188,103,624,042, 4,782,155,436,063 and 3,188,103,624,042 is: 4,782,155,436,063

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,042 : 4,782,155,436,063 = 3,188,103,624,042 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,042/4,782,155,436,063 = 3,188,103,624,042/x
  3. Step 3: Cross multiply
    3,188,103,624,042x = 4,782,155,436,063 × 3,188,103,624,042
  4. Step 4: Simplify right side
    3,188,103,624,042x = 15,246,007,076,444,600,595,906,560
  5. Step 5: Solve for x
    x = 15,246,007,076,444,600,595,906,560/3,188,103,624,042
  6. Step 6: Final answer
    x = 4,782,155,436,063

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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.