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Finding the Fourth Proportional to 582,182,495.82, 803,482,294.50 and 331,347,874.50

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Solution

The fourth proportional to 582,182,495.82, 803,482,294.50 and 331,347,874.50 is: 457,300,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,182,495.82 : 803,482,294.50 = 331,347,874.50 : x
  2. Step 2: Convert to fraction form
    582,182,495.82/803,482,294.50 = 331,347,874.50/x
  3. Step 3: Cross multiply
    582,182,495.82x = 803,482,294.50 × 331,347,874.50
  4. Step 4: Simplify right side
    582,182,495.82x = 266,232,150,480,958,048
  5. Step 5: Solve for x
    x = 266,232,150,480,958,048/582,182,495.82
  6. Step 6: Final answer
    x = 457,300,163.42

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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.