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Finding the Fourth Proportional to 533,873,640.70, 800,810,461.05 and 170,404,738.30

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Solution

The fourth proportional to 533,873,640.70, 800,810,461.05 and 170,404,738.30 is: 255,607,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,873,640.70 : 800,810,461.05 = 170,404,738.30 : x
  2. Step 2: Convert to fraction form
    533,873,640.70/800,810,461.05 = 170,404,738.30/x
  3. Step 3: Cross multiply
    533,873,640.70x = 800,810,461.05 × 170,404,738.30
  4. Step 4: Simplify right side
    533,873,640.70x = 136,461,897,043,127,600
  5. Step 5: Solve for x
    x = 136,461,897,043,127,600/533,873,640.70
  6. Step 6: Final answer
    x = 255,607,107.45

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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.