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Finding the Fourth Proportional to 3,188,103,624,138, 4,782,155,436,207 and 3,188,103,624,138

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Solution

The fourth proportional to 3,188,103,624,138, 4,782,155,436,207 and 3,188,103,624,138 is: 4,782,155,436,207

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,138 : 4,782,155,436,207 = 3,188,103,624,138 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,138/4,782,155,436,207 = 3,188,103,624,138/x
  3. Step 3: Cross multiply
    3,188,103,624,138x = 4,782,155,436,207 × 3,188,103,624,138
  4. Step 4: Simplify right side
    3,188,103,624,138x = 15,246,007,077,362,774,409,478,144
  5. Step 5: Solve for x
    x = 15,246,007,077,362,774,409,478,144/3,188,103,624,138
  6. Step 6: Final answer
    x = 4,782,155,436,207

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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.