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Finding the Fourth Proportional to 421,773,158.67, 582,002,648.51 and 233,596,523.08

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Solution

The fourth proportional to 421,773,158.67, 582,002,648.51 and 233,596,523.08 is: 322,338,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,773,158.67 : 582,002,648.51 = 233,596,523.08 : x
  2. Step 2: Convert to fraction form
    421,773,158.67/582,002,648.51 = 233,596,523.08/x
  3. Step 3: Cross multiply
    421,773,158.67x = 582,002,648.51 × 233,596,523.08
  4. Step 4: Simplify right side
    421,773,158.67x = 135,953,795,112,230,080
  5. Step 5: Solve for x
    x = 135,953,795,112,230,080/421,773,158.67
  6. Step 6: Final answer
    x = 322,338,660.77

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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.