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Finding the Fourth Proportional to 3,188,103,624,274, 4,782,155,436,411 and 3,188,103,624,274

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Solution

The fourth proportional to 3,188,103,624,274, 4,782,155,436,411 and 3,188,103,624,274 is: 4,782,155,436,411

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,274 : 4,782,155,436,411 = 3,188,103,624,274 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,274/4,782,155,436,411 = 3,188,103,624,274/x
  3. Step 3: Cross multiply
    3,188,103,624,274x = 4,782,155,436,411 × 3,188,103,624,274
  4. Step 4: Simplify right side
    3,188,103,624,274x = 15,246,007,078,663,520,287,457,280
  5. Step 5: Solve for x
    x = 15,246,007,078,663,520,287,457,280/3,188,103,624,274
  6. Step 6: Final answer
    x = 4,782,155,436,411

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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.