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Finding the Fourth Proportional to 202,182,409.80, 303,273,614.70 and 200,166,870.60

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Solution

The fourth proportional to 202,182,409.80, 303,273,614.70 and 200,166,870.60 is: 300,250,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,182,409.80 : 303,273,614.70 = 200,166,870.60 : x
  2. Step 2: Convert to fraction form
    202,182,409.80/303,273,614.70 = 200,166,870.60/x
  3. Step 3: Cross multiply
    202,182,409.80x = 303,273,614.70 × 200,166,870.60
  4. Step 4: Simplify right side
    202,182,409.80x = 60,705,330,390,049,152
  5. Step 5: Solve for x
    x = 60,705,330,390,049,152/202,182,409.80
  6. Step 6: Final answer
    x = 300,250,305.90

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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.