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Finding the Fourth Proportional to 198,061,152,993.80, 297,091,729,490.70 and 198,061,152,993.80

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Solution

The fourth proportional to 198,061,152,993.80, 297,091,729,490.70 and 198,061,152,993.80 is: 297,091,729,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,061,152,993.80 : 297,091,729,490.70 = 198,061,152,993.80 : x
  2. Step 2: Convert to fraction form
    198,061,152,993.80/297,091,729,490.70 = 198,061,152,993.80/x
  3. Step 3: Cross multiply
    198,061,152,993.80x = 297,091,729,490.70 × 198,061,152,993.80
  4. Step 4: Simplify right side
    198,061,152,993.80x = 58,842,330,487,850,176,348,160
  5. Step 5: Solve for x
    x = 58,842,330,487,850,176,348,160/198,061,152,993.80
  6. Step 6: Final answer
    x = 297,091,729,490.70

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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.