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Finding the Fourth Proportional to 600,819,647.24, 828,866,997.42 and 362,531,919.48

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Solution

The fourth proportional to 600,819,647.24, 828,866,997.42 and 362,531,919.48 is: 500,134,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,819,647.24 : 828,866,997.42 = 362,531,919.48 : x
  2. Step 2: Convert to fraction form
    600,819,647.24/828,866,997.42 = 362,531,919.48/x
  3. Step 3: Cross multiply
    600,819,647.24x = 828,866,997.42 × 362,531,919.48
  4. Step 4: Simplify right side
    600,819,647.24x = 300,490,743,568,296,832
  5. Step 5: Solve for x
    x = 300,490,743,568,296,832/600,819,647.24
  6. Step 6: Final answer
    x = 500,134,682.59

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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.