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Finding the Fourth Proportional to 201,015,017.20, 280,847,067.80 and 201,015,017.20

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Solution

The fourth proportional to 201,015,017.20, 280,847,067.80 and 201,015,017.20 is: 280,847,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,015,017.20 : 280,847,067.80 = 201,015,017.20 : x
  2. Step 2: Convert to fraction form
    201,015,017.20/280,847,067.80 = 201,015,017.20/x
  3. Step 3: Cross multiply
    201,015,017.20x = 280,847,067.80 × 201,015,017.20
  4. Step 4: Simplify right side
    201,015,017.20x = 56,454,478,164,386,568
  5. Step 5: Solve for x
    x = 56,454,478,164,386,568/201,015,017.20
  6. Step 6: Final answer
    x = 280,847,067.80

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1.5x scale

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.