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Finding the Fourth Proportional to 299,993,751.90, 414,007,451.91 and 167,826,864.06

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Solution

The fourth proportional to 299,993,751.90, 414,007,451.91 and 167,826,864.06 is: 231,610,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,993,751.90 : 414,007,451.91 = 167,826,864.06 : x
  2. Step 2: Convert to fraction form
    299,993,751.90/414,007,451.91 = 167,826,864.06/x
  3. Step 3: Cross multiply
    299,993,751.90x = 414,007,451.91 × 167,826,864.06
  4. Step 4: Simplify right side
    299,993,751.90x = 69,481,572,351,526,560
  5. Step 5: Solve for x
    x = 69,481,572,351,526,560/299,993,751.90
  6. Step 6: Final answer
    x = 231,610,064.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.