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Finding the Fourth Proportional to 3,188,103,624,058, 4,782,155,436,087 and 3,188,103,624,058

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Solution

The fourth proportional to 3,188,103,624,058, 4,782,155,436,087 and 3,188,103,624,058 is: 4,782,155,436,087

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,058 : 4,782,155,436,087 = 3,188,103,624,058 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,058/4,782,155,436,087 = 3,188,103,624,058/x
  3. Step 3: Cross multiply
    3,188,103,624,058x = 4,782,155,436,087 × 3,188,103,624,058
  4. Step 4: Simplify right side
    3,188,103,624,058x = 15,246,007,076,597,630,280,663,040
  5. Step 5: Solve for x
    x = 15,246,007,076,597,630,280,663,040/3,188,103,624,058
  6. Step 6: Final answer
    x = 4,782,155,436,087

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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.