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Finding the Fourth Proportional to 256,835,997.60, 385,253,996.40 and 147,996,880.80

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Solution

The fourth proportional to 256,835,997.60, 385,253,996.40 and 147,996,880.80 is: 221,995,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,835,997.60 : 385,253,996.40 = 147,996,880.80 : x
  2. Step 2: Convert to fraction form
    256,835,997.60/385,253,996.40 = 147,996,880.80/x
  3. Step 3: Cross multiply
    256,835,997.60x = 385,253,996.40 × 147,996,880.80
  4. Step 4: Simplify right side
    256,835,997.60x = 57,016,389,782,934,432
  5. Step 5: Solve for x
    x = 57,016,389,782,934,432/256,835,997.60
  6. Step 6: Final answer
    x = 221,995,321.20

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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.