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Finding the Fourth Proportional to 773,463,698.82, 1,067,380,019.52 and 421,042,364.97

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Solution

The fourth proportional to 773,463,698.82, 1,067,380,019.52 and 421,042,364.97 is: 581,038,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,463,698.82 : 1,067,380,019.52 = 421,042,364.97 : x
  2. Step 2: Convert to fraction form
    773,463,698.82/1,067,380,019.52 = 421,042,364.97/x
  3. Step 3: Cross multiply
    773,463,698.82x = 1,067,380,019.52 × 421,042,364.97
  4. Step 4: Simplify right side
    773,463,698.82x = 449,412,207,740,425,600
  5. Step 5: Solve for x
    x = 449,412,207,740,425,600/773,463,698.82
  6. Step 6: Final answer
    x = 581,038,526.34

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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.