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Finding the Fourth Proportional to 269,455,409.40, 404,183,114.10 and 96,958,846.20

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Solution

The fourth proportional to 269,455,409.40, 404,183,114.10 and 96,958,846.20 is: 145,438,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,455,409.40 : 404,183,114.10 = 96,958,846.20 : x
  2. Step 2: Convert to fraction form
    269,455,409.40/404,183,114.10 = 96,958,846.20/x
  3. Step 3: Cross multiply
    269,455,409.40x = 404,183,114.10 × 96,958,846.20
  4. Step 4: Simplify right side
    269,455,409.40x = 39,189,128,396,658,952
  5. Step 5: Solve for x
    x = 39,189,128,396,658,952/269,455,409.40
  6. Step 6: Final answer
    x = 145,438,269.30

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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.