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Finding the Fourth Proportional to 516,996,293.96, 713,451,499.80 and 293,977,992.44

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Solution

The fourth proportional to 516,996,293.96, 713,451,499.80 and 293,977,992.44 is: 405,687,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,996,293.96 : 713,451,499.80 = 293,977,992.44 : x
  2. Step 2: Convert to fraction form
    516,996,293.96/713,451,499.80 = 293,977,992.44/x
  3. Step 3: Cross multiply
    516,996,293.96x = 713,451,499.80 × 293,977,992.44
  4. Step 4: Simplify right side
    516,996,293.96x = 209,739,039,614,511,040
  5. Step 5: Solve for x
    x = 209,739,039,614,511,040/516,996,293.96
  6. Step 6: Final answer
    x = 405,687,704.27

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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.