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Finding the Fourth Proportional to 217,037,633.80, 325,556,450.70 and 200,409,435.40

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Solution

The fourth proportional to 217,037,633.80, 325,556,450.70 and 200,409,435.40 is: 300,614,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,037,633.80 : 325,556,450.70 = 200,409,435.40 : x
  2. Step 2: Convert to fraction form
    217,037,633.80/325,556,450.70 = 200,409,435.40/x
  3. Step 3: Cross multiply
    217,037,633.80x = 325,556,450.70 × 200,409,435.40
  4. Step 4: Simplify right side
    217,037,633.80x = 65,244,584,475,614,936
  5. Step 5: Solve for x
    x = 65,244,584,475,614,936/217,037,633.80
  6. Step 6: Final answer
    x = 300,614,153.10

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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.