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Finding the Fourth Proportional to 310,903,610.80, 466,142,839.80 and 147,219,782.80

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Solution

The fourth proportional to 310,903,610.80, 466,142,839.80 and 147,219,782.80 is: 220,729,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,903,610.80 : 466,142,839.80 = 147,219,782.80 : x
  2. Step 2: Convert to fraction form
    310,903,610.80/466,142,839.80 = 147,219,782.80/x
  3. Step 3: Cross multiply
    310,903,610.80x = 466,142,839.80 × 147,219,782.80
  4. Step 4: Simplify right side
    310,903,610.80x = 68,625,447,629,131,200
  5. Step 5: Solve for x
    x = 68,625,447,629,131,200/310,903,610.80
  6. Step 6: Final answer
    x = 220,729,014.54

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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.