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Finding the Fourth Proportional to 598,969,833.60, 897,746,961.60 and 253,922,793.60

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Solution

The fourth proportional to 598,969,833.60, 897,746,961.60 and 253,922,793.60 is: 380,584,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,969,833.60 : 897,746,961.60 = 253,922,793.60 : x
  2. Step 2: Convert to fraction form
    598,969,833.60/897,746,961.60 = 253,922,793.60/x
  3. Step 3: Cross multiply
    598,969,833.60x = 897,746,961.60 × 253,922,793.60
  4. Step 4: Simplify right side
    598,969,833.60x = 227,958,416,435,383,936
  5. Step 5: Solve for x
    x = 227,958,416,435,383,936/598,969,833.60
  6. Step 6: Final answer
    x = 380,584,135.71

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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.