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Finding the Fourth Proportional to 202,269,846.60, 303,404,769.90 and 180,728,771.40

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Solution

The fourth proportional to 202,269,846.60, 303,404,769.90 and 180,728,771.40 is: 271,093,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,269,846.60 : 303,404,769.90 = 180,728,771.40 : x
  2. Step 2: Convert to fraction form
    202,269,846.60/303,404,769.90 = 180,728,771.40/x
  3. Step 3: Cross multiply
    202,269,846.60x = 303,404,769.90 × 180,728,771.40
  4. Step 4: Simplify right side
    202,269,846.60x = 54,833,971,300,926,696
  5. Step 5: Solve for x
    x = 54,833,971,300,926,696/202,269,846.60
  6. Step 6: Final answer
    x = 271,093,157.10

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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.