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Finding the Fourth Proportional to 280,187,598.80, 419,147,657.40 and 246,175,374.80

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Solution

The fourth proportional to 280,187,598.80, 419,147,657.40 and 246,175,374.80 is: 368,266,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,187,598.80 : 419,147,657.40 = 246,175,374.80 : x
  2. Step 2: Convert to fraction form
    280,187,598.80/419,147,657.40 = 246,175,374.80/x
  3. Step 3: Cross multiply
    280,187,598.80x = 419,147,657.40 × 246,175,374.80
  4. Step 4: Simplify right side
    280,187,598.80x = 103,183,831,656,986,992
  5. Step 5: Solve for x
    x = 103,183,831,656,986,992/280,187,598.80
  6. Step 6: Final answer
    x = 368,266,947.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.