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Finding the Fourth Proportional to 198,677,278,840.80, 298,015,918,261.20 and 198,677,278,840.80

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Solution

The fourth proportional to 198,677,278,840.80, 298,015,918,261.20 and 198,677,278,840.80 is: 298,015,918,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,677,278,840.80 : 298,015,918,261.20 = 198,677,278,840.80 : x
  2. Step 2: Convert to fraction form
    198,677,278,840.80/298,015,918,261.20 = 198,677,278,840.80/x
  3. Step 3: Cross multiply
    198,677,278,840.80x = 298,015,918,261.20 × 198,677,278,840.80
  4. Step 4: Simplify right side
    198,677,278,840.80x = 59,208,991,691,377,494,458,368
  5. Step 5: Solve for x
    x = 59,208,991,691,377,494,458,368/198,677,278,840.80
  6. Step 6: Final answer
    x = 298,015,918,261.20

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1.5x scale

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.