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Finding the Fourth Proportional to 598,019,589.20, 897,029,383.80 and 598,019,589.20

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Solution

The fourth proportional to 598,019,589.20, 897,029,383.80 and 598,019,589.20 is: 897,029,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,019,589.20 : 897,029,383.80 = 598,019,589.20 : x
  2. Step 2: Convert to fraction form
    598,019,589.20/897,029,383.80 = 598,019,589.20/x
  3. Step 3: Cross multiply
    598,019,589.20x = 897,029,383.80 × 598,019,589.20
  4. Step 4: Simplify right side
    598,019,589.20x = 536,441,143,600,405,120
  5. Step 5: Solve for x
    x = 536,441,143,600,405,120/598,019,589.20
  6. Step 6: Final answer
    x = 897,029,383.80

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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.