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Finding the Fourth Proportional to 299,322,293.46, 410,064,691.80 and 288,131,290.08

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Solution

The fourth proportional to 299,322,293.46, 410,064,691.80 and 288,131,290.08 is: 394,733,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,322,293.46 : 410,064,691.80 = 288,131,290.08 : x
  2. Step 2: Convert to fraction form
    299,322,293.46/410,064,691.80 = 288,131,290.08/x
  3. Step 3: Cross multiply
    299,322,293.46x = 410,064,691.80 × 288,131,290.08
  4. Step 4: Simplify right side
    299,322,293.46x = 118,152,468,664,591,600
  5. Step 5: Solve for x
    x = 118,152,468,664,591,600/299,322,293.46
  6. Step 6: Final answer
    x = 394,733,273.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.