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Finding the Fourth Proportional to 605,827,742.96, 835,899,892.31 and 367,667,648.66

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Solution

The fourth proportional to 605,827,742.96, 835,899,892.31 and 367,667,648.66 is: 507,294,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,827,742.96 : 835,899,892.31 = 367,667,648.66 : x
  2. Step 2: Convert to fraction form
    605,827,742.96/835,899,892.31 = 367,667,648.66/x
  3. Step 3: Cross multiply
    605,827,742.96x = 835,899,892.31 × 367,667,648.66
  4. Step 4: Simplify right side
    605,827,742.96x = 307,333,347,923,773,824
  5. Step 5: Solve for x
    x = 307,333,347,923,773,824/605,827,742.96
  6. Step 6: Final answer
    x = 507,294,939.02

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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.