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Finding the Fourth Proportional to 193,763,175,744.80, 290,644,763,617.20 and 193,763,175,744.80

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Solution

The fourth proportional to 193,763,175,744.80, 290,644,763,617.20 and 193,763,175,744.80 is: 290,644,763,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,763,175,744.80 : 290,644,763,617.20 = 193,763,175,744.80 : x
  2. Step 2: Convert to fraction form
    193,763,175,744.80/290,644,763,617.20 = 193,763,175,744.80/x
  3. Step 3: Cross multiply
    193,763,175,744.80x = 290,644,763,617.20 × 193,763,175,744.80
  4. Step 4: Simplify right side
    193,763,175,744.80x = 56,316,252,412,065,372,700,672
  5. Step 5: Solve for x
    x = 56,316,252,412,065,372,700,672/193,763,175,744.80
  6. Step 6: Final answer
    x = 290,644,763,617.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.