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Finding the Fourth Proportional to 204,035,377.60, 286,254,190.40 and 204,035,377.60

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Solution

The fourth proportional to 204,035,377.60, 286,254,190.40 and 204,035,377.60 is: 286,254,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,035,377.60 : 286,254,190.40 = 204,035,377.60 : x
  2. Step 2: Convert to fraction form
    204,035,377.60/286,254,190.40 = 204,035,377.60/x
  3. Step 3: Cross multiply
    204,035,377.60x = 286,254,190.40 × 204,035,377.60
  4. Step 4: Simplify right side
    204,035,377.60x = 58,405,981,827,846,288
  5. Step 5: Solve for x
    x = 58,405,981,827,846,288/204,035,377.60
  6. Step 6: Final answer
    x = 286,254,190.40

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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.