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Finding the Fourth Proportional to 474,259,970, 654,478,758.60 and 257,204,738

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Solution

The fourth proportional to 474,259,970, 654,478,758.60 and 257,204,738 is: 354,942,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,259,970 : 654,478,758.60 = 257,204,738 : x
  2. Step 2: Convert to fraction form
    474,259,970/654,478,758.60 = 257,204,738/x
  3. Step 3: Cross multiply
    474,259,970x = 654,478,758.60 × 257,204,738
  4. Step 4: Simplify right side
    474,259,970x = 168,335,037,632,278,240
  5. Step 5: Solve for x
    x = 168,335,037,632,278,240/474,259,970
  6. Step 6: Final answer
    x = 354,942,538.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.