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Finding the Fourth Proportional to 203,851,544.80, 286,198,378.40 and 203,851,544.80

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Solution

The fourth proportional to 203,851,544.80, 286,198,378.40 and 203,851,544.80 is: 286,198,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,851,544.80 : 286,198,378.40 = 203,851,544.80 : x
  2. Step 2: Convert to fraction form
    203,851,544.80/286,198,378.40 = 203,851,544.80/x
  3. Step 3: Cross multiply
    203,851,544.80x = 286,198,378.40 × 203,851,544.80
  4. Step 4: Simplify right side
    203,851,544.80x = 58,341,981,556,094,952
  5. Step 5: Solve for x
    x = 58,341,981,556,094,952/203,851,544.80
  6. Step 6: Final answer
    x = 286,198,378.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.