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Finding the Fourth Proportional to 474,876,129.60, 712,314,194.40 and 202,274,452.80

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Solution

The fourth proportional to 474,876,129.60, 712,314,194.40 and 202,274,452.80 is: 303,411,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,876,129.60 : 712,314,194.40 = 202,274,452.80 : x
  2. Step 2: Convert to fraction form
    474,876,129.60/712,314,194.40 = 202,274,452.80/x
  3. Step 3: Cross multiply
    474,876,129.60x = 712,314,194.40 × 202,274,452.80
  4. Step 4: Simplify right side
    474,876,129.60x = 144,082,963,893,932,832
  5. Step 5: Solve for x
    x = 144,082,963,893,932,832/474,876,129.60
  6. Step 6: Final answer
    x = 303,411,679.20

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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.