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Finding the Fourth Proportional to 165,722,112,105.20, 248,583,168,157.80 and 165,722,112,105.20

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Solution

The fourth proportional to 165,722,112,105.20, 248,583,168,157.80 and 165,722,112,105.20 is: 248,583,168,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,722,112,105.20 : 248,583,168,157.80 = 165,722,112,105.20 : x
  2. Step 2: Convert to fraction form
    165,722,112,105.20/248,583,168,157.80 = 165,722,112,105.20/x
  3. Step 3: Cross multiply
    165,722,112,105.20x = 248,583,168,157.80 × 165,722,112,105.20
  4. Step 4: Simplify right side
    165,722,112,105.20x = 41,195,727,660,912,713,138,176
  5. Step 5: Solve for x
    x = 41,195,727,660,912,713,138,176/165,722,112,105.20
  6. Step 6: Final answer
    x = 248,583,168,157.80

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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.