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Finding the Fourth Proportional to 704,906,615.61, 972,558,991.13 and 422,546,031.81

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Solution

The fourth proportional to 704,906,615.61, 972,558,991.13 and 422,546,031.81 is: 582,986,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,906,615.61 : 972,558,991.13 = 422,546,031.81 : x
  2. Step 2: Convert to fraction form
    704,906,615.61/972,558,991.13 = 422,546,031.81/x
  3. Step 3: Cross multiply
    704,906,615.61x = 972,558,991.13 × 422,546,031.81
  4. Step 4: Simplify right side
    704,906,615.61x = 410,950,942,401,005,760
  5. Step 5: Solve for x
    x = 410,950,942,401,005,760/704,906,615.61
  6. Step 6: Final answer
    x = 582,986,360.61

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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.