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Finding the Fourth Proportional to 275,571,080.40, 412,878,323.70 and 178,476,809.70

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Solution

The fourth proportional to 275,571,080.40, 412,878,323.70 and 178,476,809.70 is: 267,405,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,571,080.40 : 412,878,323.70 = 178,476,809.70 : x
  2. Step 2: Convert to fraction form
    275,571,080.40/412,878,323.70 = 178,476,809.70/x
  3. Step 3: Cross multiply
    275,571,080.40x = 412,878,323.70 × 178,476,809.70
  4. Step 4: Simplify right side
    275,571,080.40x = 73,689,206,008,259,888
  5. Step 5: Solve for x
    x = 73,689,206,008,259,888/275,571,080.40
  6. Step 6: Final answer
    x = 267,405,440.01

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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.