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Finding the Fourth Proportional to 6,391,686,374, 9,587,529,561 and 1,796,256,998

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Solution

The fourth proportional to 6,391,686,374, 9,587,529,561 and 1,796,256,998 is: 2,694,385,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391,686,374 : 9,587,529,561 = 1,796,256,998 : x
  2. Step 2: Convert to fraction form
    6,391,686,374/9,587,529,561 = 1,796,256,998/x
  3. Step 3: Cross multiply
    6,391,686,374x = 9,587,529,561 × 1,796,256,998
  4. Step 4: Simplify right side
    6,391,686,374x = 17,221,667,067,478,118,400
  5. Step 5: Solve for x
    x = 17,221,667,067,478,118,400/6,391,686,374
  6. Step 6: Final answer
    x = 2,694,385,497

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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.