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Finding the Fourth Proportional to 559,692,462.15, 772,378,283.16 and 308,796,839.73

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Solution

The fourth proportional to 559,692,462.15, 772,378,283.16 and 308,796,839.73 is: 426,141,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,692,462.15 : 772,378,283.16 = 308,796,839.73 : x
  2. Step 2: Convert to fraction form
    559,692,462.15/772,378,283.16 = 308,796,839.73/x
  3. Step 3: Cross multiply
    559,692,462.15x = 772,378,283.16 × 308,796,839.73
  4. Step 4: Simplify right side
    559,692,462.15x = 238,507,972,915,891,072
  5. Step 5: Solve for x
    x = 238,507,972,915,891,072/559,692,462.15
  6. Step 6: Final answer
    x = 426,141,120.43

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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.