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Finding the Fourth Proportional to 791,752,494, 1,187,590,112.82 and 293,859,887.64

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Solution

The fourth proportional to 791,752,494, 1,187,590,112.82 and 293,859,887.64 is: 440,775,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,752,494 : 1,187,590,112.82 = 293,859,887.64 : x
  2. Step 2: Convert to fraction form
    791,752,494/1,187,590,112.82 = 293,859,887.64/x
  3. Step 3: Cross multiply
    791,752,494x = 1,187,590,112.82 × 293,859,887.64
  4. Step 4: Simplify right side
    791,752,494x = 348,985,097,115,660,096
  5. Step 5: Solve for x
    x = 348,985,097,115,660,096/791,752,494
  6. Step 6: Final answer
    x = 440,775,494.56

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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.