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Finding the Fourth Proportional to 201,702,469.30, 302,553,703.95 and 200,190,814.90

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Solution

The fourth proportional to 201,702,469.30, 302,553,703.95 and 200,190,814.90 is: 300,286,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702,469.30 : 302,553,703.95 = 200,190,814.90 : x
  2. Step 2: Convert to fraction form
    201,702,469.30/302,553,703.95 = 200,190,814.90/x
  3. Step 3: Cross multiply
    201,702,469.30x = 302,553,703.95 × 200,190,814.90
  4. Step 4: Simplify right side
    201,702,469.30x = 60,568,472,544,763,848
  5. Step 5: Solve for x
    x = 60,568,472,544,763,848/201,702,469.30
  6. Step 6: Final answer
    x = 300,286,222.35

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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.