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Finding the Fourth Proportional to 202,269,741.60, 303,404,612.40 and 180,728,666.40

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Solution

The fourth proportional to 202,269,741.60, 303,404,612.40 and 180,728,666.40 is: 271,092,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,269,741.60 : 303,404,612.40 = 180,728,666.40 : x
  2. Step 2: Convert to fraction form
    202,269,741.60/303,404,612.40 = 180,728,666.40/x
  3. Step 3: Cross multiply
    202,269,741.60x = 303,404,612.40 × 180,728,666.40
  4. Step 4: Simplify right side
    202,269,741.60x = 54,833,910,978,660,904
  5. Step 5: Solve for x
    x = 54,833,910,978,660,904/202,269,741.60
  6. Step 6: Final answer
    x = 271,092,999.60

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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.