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Finding the Fourth Proportional to 3,188,103,624,174, 4,782,155,436,261 and 3,188,103,624,174

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Solution

The fourth proportional to 3,188,103,624,174, 4,782,155,436,261 and 3,188,103,624,174 is: 4,782,155,436,261

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,174 : 4,782,155,436,261 = 3,188,103,624,174 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,174/4,782,155,436,261 = 3,188,103,624,174/x
  3. Step 3: Cross multiply
    3,188,103,624,174x = 4,782,155,436,261 × 3,188,103,624,174
  4. Step 4: Simplify right side
    3,188,103,624,174x = 15,246,007,077,707,091,200,180,224
  5. Step 5: Solve for x
    x = 15,246,007,077,707,091,200,180,224/3,188,103,624,174
  6. Step 6: Final answer
    x = 4,782,155,436,261

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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.