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Finding the Fourth Proportional to 517,667,090.82, 714,398,212.20 and 306,155,233.62

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Solution

The fourth proportional to 517,667,090.82, 714,398,212.20 and 306,155,233.62 is: 422,504,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,667,090.82 : 714,398,212.20 = 306,155,233.62 : x
  2. Step 2: Convert to fraction form
    517,667,090.82/714,398,212.20 = 306,155,233.62/x
  3. Step 3: Cross multiply
    517,667,090.82x = 714,398,212.20 × 306,155,233.62
  4. Step 4: Simplify right side
    517,667,090.82x = 218,716,751,553,801,344
  5. Step 5: Solve for x
    x = 218,716,751,553,801,344/517,667,090.82
  6. Step 6: Final answer
    x = 422,504,647.16

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