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Finding the Fourth Proportional to 512,841,644.40, 769,262,466.60 and 221,505,688.20

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Solution

The fourth proportional to 512,841,644.40, 769,262,466.60 and 221,505,688.20 is: 332,258,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,841,644.40 : 769,262,466.60 = 221,505,688.20 : x
  2. Step 2: Convert to fraction form
    512,841,644.40/769,262,466.60 = 221,505,688.20/x
  3. Step 3: Cross multiply
    512,841,644.40x = 769,262,466.60 × 221,505,688.20
  4. Step 4: Simplify right side
    512,841,644.40x = 170,396,012,070,662,496
  5. Step 5: Solve for x
    x = 170,396,012,070,662,496/512,841,644.40
  6. Step 6: Final answer
    x = 332,258,532.30

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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.