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Finding the Fourth Proportional to 222,209,164.44, 306,754,978.34 and 147,993,231.96

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Solution

The fourth proportional to 222,209,164.44, 306,754,978.34 and 147,993,231.96 is: 204,301,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,209,164.44 : 306,754,978.34 = 147,993,231.96 : x
  2. Step 2: Convert to fraction form
    222,209,164.44/306,754,978.34 = 147,993,231.96/x
  3. Step 3: Cross multiply
    222,209,164.44x = 306,754,978.34 × 147,993,231.96
  4. Step 4: Simplify right side
    222,209,164.44x = 45,397,660,664,356,392
  5. Step 5: Solve for x
    x = 45,397,660,664,356,392/222,209,164.44
  6. Step 6: Final answer
    x = 204,301,477.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.