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Finding the Fourth Proportional to 269,043,399.20, 402,927,369.60 and 269,043,399.20

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Solution

The fourth proportional to 269,043,399.20, 402,927,369.60 and 269,043,399.20 is: 402,927,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,043,399.20 : 402,927,369.60 = 269,043,399.20 : x
  2. Step 2: Convert to fraction form
    269,043,399.20/402,927,369.60 = 269,043,399.20/x
  3. Step 3: Cross multiply
    269,043,399.20x = 402,927,369.60 × 269,043,399.20
  4. Step 4: Simplify right side
    269,043,399.20x = 108,404,949,147,898,752
  5. Step 5: Solve for x
    x = 108,404,949,147,898,752/269,043,399.20
  6. Step 6: Final answer
    x = 402,927,369.60

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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.