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Finding the Fourth Proportional to 248,304,047,998.20, 372,456,071,997.30 and 248,304,047,998.20

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Solution

The fourth proportional to 248,304,047,998.20, 372,456,071,997.30 and 248,304,047,998.20 is: 372,456,071,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,304,047,998.20 : 372,456,071,997.30 = 248,304,047,998.20 : x
  2. Step 2: Convert to fraction form
    248,304,047,998.20/372,456,071,997.30 = 248,304,047,998.20/x
  3. Step 3: Cross multiply
    248,304,047,998.20x = 372,456,071,997.30 × 248,304,047,998.20
  4. Step 4: Simplify right side
    248,304,047,998.20x = 92,482,350,378,438,608,551,936
  5. Step 5: Solve for x
    x = 92,482,350,378,438,608,551,936/248,304,047,998.20
  6. Step 6: Final answer
    x = 372,456,071,997.30

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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.