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Finding the Fourth Proportional to 598,019,416.80, 897,029,125.20 and 598,019,416.80

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Solution

The fourth proportional to 598,019,416.80, 897,029,125.20 and 598,019,416.80 is: 897,029,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,019,416.80 : 897,029,125.20 = 598,019,416.80 : x
  2. Step 2: Convert to fraction form
    598,019,416.80/897,029,125.20 = 598,019,416.80/x
  3. Step 3: Cross multiply
    598,019,416.80x = 897,029,125.20 × 598,019,416.80
  4. Step 4: Simplify right side
    598,019,416.80x = 536,440,834,304,718,144
  5. Step 5: Solve for x
    x = 536,440,834,304,718,144/598,019,416.80
  6. Step 6: Final answer
    x = 897,029,125.20

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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.