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Finding the Fourth Proportional to 598,321,605.80, 897,482,408.70 and 394,080,300.20

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Solution

The fourth proportional to 598,321,605.80, 897,482,408.70 and 394,080,300.20 is: 591,120,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,321,605.80 : 897,482,408.70 = 394,080,300.20 : x
  2. Step 2: Convert to fraction form
    598,321,605.80/897,482,408.70 = 394,080,300.20/x
  3. Step 3: Cross multiply
    598,321,605.80x = 897,482,408.70 × 394,080,300.20
  4. Step 4: Simplify right side
    598,321,605.80x = 353,680,137,044,715,072
  5. Step 5: Solve for x
    x = 353,680,137,044,715,072/598,321,605.80
  6. Step 6: Final answer
    x = 591,120,450.30

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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.