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Finding the Fourth Proportional to 329,876,716.80, 494,871,062.40 and 99,843,974.40

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Solution

The fourth proportional to 329,876,716.80, 494,871,062.40 and 99,843,974.40 is: 149,782,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,876,716.80 : 494,871,062.40 = 99,843,974.40 : x
  2. Step 2: Convert to fraction form
    329,876,716.80/494,871,062.40 = 99,843,974.40/x
  3. Step 3: Cross multiply
    329,876,716.80x = 494,871,062.40 × 99,843,974.40
  4. Step 4: Simplify right side
    329,876,716.80x = 49,409,893,685,566,400
  5. Step 5: Solve for x
    x = 49,409,893,685,566,400/329,876,716.80
  6. Step 6: Final answer
    x = 149,782,907.28

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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.