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Finding the Fourth Proportional to 634,792,238.40, 952,188,357.60 and 174,801,403.20

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Solution

The fourth proportional to 634,792,238.40, 952,188,357.60 and 174,801,403.20 is: 262,202,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,792,238.40 : 952,188,357.60 = 174,801,403.20 : x
  2. Step 2: Convert to fraction form
    634,792,238.40/952,188,357.60 = 174,801,403.20/x
  3. Step 3: Cross multiply
    634,792,238.40x = 952,188,357.60 × 174,801,403.20
  4. Step 4: Simplify right side
    634,792,238.40x = 166,443,861,019,183,392
  5. Step 5: Solve for x
    x = 166,443,861,019,183,392/634,792,238.40
  6. Step 6: Final answer
    x = 262,202,104.80

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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.