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Finding the Fourth Proportional to 204,493,247,408.40, 306,739,871,112.60 and 204,493,247,408.40

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Solution

The fourth proportional to 204,493,247,408.40, 306,739,871,112.60 and 204,493,247,408.40 is: 306,739,871,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,493,247,408.40 : 306,739,871,112.60 = 204,493,247,408.40 : x
  2. Step 2: Convert to fraction form
    204,493,247,408.40/306,739,871,112.60 = 204,493,247,408.40/x
  3. Step 3: Cross multiply
    204,493,247,408.40x = 306,739,871,112.60 × 204,493,247,408.40
  4. Step 4: Simplify right side
    204,493,247,408.40x = 62,726,232,353,449,632,071,680
  5. Step 5: Solve for x
    x = 62,726,232,353,449,632,071,680/204,493,247,408.40
  6. Step 6: Final answer
    x = 306,739,871,112.60

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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.