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Finding the Fourth Proportional to 271,674,009.60, 407,511,014.40 and 252,542,133.60

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Solution

The fourth proportional to 271,674,009.60, 407,511,014.40 and 252,542,133.60 is: 378,813,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,674,009.60 : 407,511,014.40 = 252,542,133.60 : x
  2. Step 2: Convert to fraction form
    271,674,009.60/407,511,014.40 = 252,542,133.60/x
  3. Step 3: Cross multiply
    271,674,009.60x = 407,511,014.40 × 252,542,133.60
  4. Step 4: Simplify right side
    271,674,009.60x = 102,913,701,042,076,320
  5. Step 5: Solve for x
    x = 102,913,701,042,076,320/271,674,009.60
  6. Step 6: Final answer
    x = 378,813,200.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.