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Finding the Fourth Proportional to 600,199,589.94, 828,362,072.01 and 345,832,229.15

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Solution

The fourth proportional to 600,199,589.94, 828,362,072.01 and 345,832,229.15 is: 477,298,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,199,589.94 : 828,362,072.01 = 345,832,229.15 : x
  2. Step 2: Convert to fraction form
    600,199,589.94/828,362,072.01 = 345,832,229.15/x
  3. Step 3: Cross multiply
    600,199,589.94x = 828,362,072.01 × 345,832,229.15
  4. Step 4: Simplify right side
    600,199,589.94x = 286,474,301,906,792,544
  5. Step 5: Solve for x
    x = 286,474,301,906,792,544/600,199,589.94
  6. Step 6: Final answer
    x = 477,298,396.58

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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.