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Finding the Fourth Proportional to 314,978,096.80, 472,467,145.20 and 176,661,719.20

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Solution

The fourth proportional to 314,978,096.80, 472,467,145.20 and 176,661,719.20 is: 264,992,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,978,096.80 : 472,467,145.20 = 176,661,719.20 : x
  2. Step 2: Convert to fraction form
    314,978,096.80/472,467,145.20 = 176,661,719.20/x
  3. Step 3: Cross multiply
    314,978,096.80x = 472,467,145.20 × 176,661,719.20
  4. Step 4: Simplify right side
    314,978,096.80x = 83,466,858,136,548,016
  5. Step 5: Solve for x
    x = 83,466,858,136,548,016/314,978,096.80
  6. Step 6: Final answer
    x = 264,992,578.80

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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.