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Finding the Fourth Proportional to 299,088,413.60, 419,328,440.80 and 299,088,413.60

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Solution

The fourth proportional to 299,088,413.60, 419,328,440.80 and 299,088,413.60 is: 419,328,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,088,413.60 : 419,328,440.80 = 299,088,413.60 : x
  2. Step 2: Convert to fraction form
    299,088,413.60/419,328,440.80 = 299,088,413.60/x
  3. Step 3: Cross multiply
    299,088,413.60x = 419,328,440.80 × 299,088,413.60
  4. Step 4: Simplify right side
    299,088,413.60x = 125,416,278,136,233,536
  5. Step 5: Solve for x
    x = 125,416,278,136,233,536/299,088,413.60
  6. Step 6: Final answer
    x = 419,328,440.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.