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Finding the Fourth Proportional to 598,911,319.20, 898,366,978.80 and 423,559,408.80

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Solution

The fourth proportional to 598,911,319.20, 898,366,978.80 and 423,559,408.80 is: 635,339,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,911,319.20 : 898,366,978.80 = 423,559,408.80 : x
  2. Step 2: Convert to fraction form
    598,911,319.20/898,366,978.80 = 423,559,408.80/x
  3. Step 3: Cross multiply
    598,911,319.20x = 898,366,978.80 × 423,559,408.80
  4. Step 4: Simplify right side
    598,911,319.20x = 380,511,786,425,970,112
  5. Step 5: Solve for x
    x = 380,511,786,425,970,112/598,911,319.20
  6. Step 6: Final answer
    x = 635,339,113.20

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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.