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Finding the Fourth Proportional to 399,168,023.40, 557,474,743.80 and 399,168,023.40

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Solution

The fourth proportional to 399,168,023.40, 557,474,743.80 and 399,168,023.40 is: 557,474,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,168,023.40 : 557,474,743.80 = 399,168,023.40 : x
  2. Step 2: Convert to fraction form
    399,168,023.40/557,474,743.80 = 399,168,023.40/x
  3. Step 3: Cross multiply
    399,168,023.40x = 557,474,743.80 × 399,168,023.40
  4. Step 4: Simplify right side
    399,168,023.40x = 222,526,091,578,067,360
  5. Step 5: Solve for x
    x = 222,526,091,578,067,360/399,168,023.40
  6. Step 6: Final answer
    x = 557,474,743.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.