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Finding the Fourth Proportional to 862,801,664.40, 1,294,202,496.60 and 598,781,775.60

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Solution

The fourth proportional to 862,801,664.40, 1,294,202,496.60 and 598,781,775.60 is: 898,172,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,801,664.40 : 1,294,202,496.60 = 598,781,775.60 : x
  2. Step 2: Convert to fraction form
    862,801,664.40/1,294,202,496.60 = 598,781,775.60/x
  3. Step 3: Cross multiply
    862,801,664.40x = 1,294,202,496.60 × 598,781,775.60
  4. Step 4: Simplify right side
    862,801,664.40x = 774,944,868,900,100,992
  5. Step 5: Solve for x
    x = 774,944,868,900,100,992/862,801,664.40
  6. Step 6: Final answer
    x = 898,172,663.40

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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.