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Finding the Fourth Proportional to 211,272,043.20, 295,982,414.40 and 211,272,043.20

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Solution

The fourth proportional to 211,272,043.20, 295,982,414.40 and 211,272,043.20 is: 295,982,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,272,043.20 : 295,982,414.40 = 211,272,043.20 : x
  2. Step 2: Convert to fraction form
    211,272,043.20/295,982,414.40 = 211,272,043.20/x
  3. Step 3: Cross multiply
    211,272,043.20x = 295,982,414.40 × 211,272,043.20
  4. Step 4: Simplify right side
    211,272,043.20x = 62,532,809,441,557,096
  5. Step 5: Solve for x
    x = 62,532,809,441,557,096/211,272,043.20
  6. Step 6: Final answer
    x = 295,982,414.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.