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Finding the Fourth Proportional to 698,692,227.20, 1,046,022,801.60 and 698,692,227.20

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Solution

The fourth proportional to 698,692,227.20, 1,046,022,801.60 and 698,692,227.20 is: 1,046,022,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,692,227.20 : 1,046,022,801.60 = 698,692,227.20 : x
  2. Step 2: Convert to fraction form
    698,692,227.20/1,046,022,801.60 = 698,692,227.20/x
  3. Step 3: Cross multiply
    698,692,227.20x = 1,046,022,801.60 × 698,692,227.20
  4. Step 4: Simplify right side
    698,692,227.20x = 730,848,000,951,887,744
  5. Step 5: Solve for x
    x = 730,848,000,951,887,744/698,692,227.20
  6. Step 6: Final answer
    x = 1,046,022,801.60

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1.5x scale

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.