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Finding the Fourth Proportional to 512,489,406.70, 707,231,859.64 and 277,534,690.51

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Solution

The fourth proportional to 512,489,406.70, 707,231,859.64 and 277,534,690.51 is: 382,995,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,489,406.70 : 707,231,859.64 = 277,534,690.51 : x
  2. Step 2: Convert to fraction form
    512,489,406.70/707,231,859.64 = 277,534,690.51/x
  3. Step 3: Cross multiply
    512,489,406.70x = 707,231,859.64 × 277,534,690.51
  4. Step 4: Simplify right side
    512,489,406.70x = 196,281,375,283,999,136
  5. Step 5: Solve for x
    x = 196,281,375,283,999,136/512,489,406.70
  6. Step 6: Final answer
    x = 382,995,965.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.