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Finding the Fourth Proportional to 201,702,500.80, 302,553,751.20 and 200,190,846.40

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Solution

The fourth proportional to 201,702,500.80, 302,553,751.20 and 200,190,846.40 is: 300,286,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702,500.80 : 302,553,751.20 = 200,190,846.40 : x
  2. Step 2: Convert to fraction form
    201,702,500.80/302,553,751.20 = 200,190,846.40/x
  3. Step 3: Cross multiply
    201,702,500.80x = 302,553,751.20 × 200,190,846.40
  4. Step 4: Simplify right side
    201,702,500.80x = 60,568,491,534,223,016
  5. Step 5: Solve for x
    x = 60,568,491,534,223,016/201,702,500.80
  6. Step 6: Final answer
    x = 300,286,269.60

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1.5x scale

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.