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Finding the Fourth Proportional to 238,203,669,839.10, 357,305,504,758.65 and 238,203,669,839.10

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Solution

The fourth proportional to 238,203,669,839.10, 357,305,504,758.65 and 238,203,669,839.10 is: 357,305,504,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,203,669,839.10 : 357,305,504,758.65 = 238,203,669,839.10 : x
  2. Step 2: Convert to fraction form
    238,203,669,839.10/357,305,504,758.65 = 238,203,669,839.10/x
  3. Step 3: Cross multiply
    238,203,669,839.10x = 357,305,504,758.65 × 238,203,669,839.10
  4. Step 4: Simplify right side
    238,203,669,839.10x = 85,111,482,487,222,445,277,184
  5. Step 5: Solve for x
    x = 85,111,482,487,222,445,277,184/238,203,669,839.10
  6. Step 6: Final answer
    x = 357,305,504,758.65

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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.