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Finding the Fourth Proportional to 604,770,288.89, 906,418,449.97 and 313,476,818.81

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Solution

The fourth proportional to 604,770,288.89, 906,418,449.97 and 313,476,818.81 is: 469,833,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,770,288.89 : 906,418,449.97 = 313,476,818.81 : x
  2. Step 2: Convert to fraction form
    604,770,288.89/906,418,449.97 = 313,476,818.81/x
  3. Step 3: Cross multiply
    604,770,288.89x = 906,418,449.97 × 313,476,818.81
  4. Step 4: Simplify right side
    604,770,288.89x = 284,141,172,201,970,944
  5. Step 5: Solve for x
    x = 284,141,172,201,970,944/604,770,288.89
  6. Step 6: Final answer
    x = 469,833,220.02

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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.