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Finding the Fourth Proportional to 765,063,073.84, 1,147,601,040 and 212,408,596.24

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Solution

The fourth proportional to 765,063,073.84, 1,147,601,040 and 212,408,596.24 is: 318,614,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,063,073.84 : 1,147,601,040 = 212,408,596.24 : x
  2. Step 2: Convert to fraction form
    765,063,073.84/1,147,601,040 = 212,408,596.24/x
  3. Step 3: Cross multiply
    765,063,073.84x = 1,147,601,040 × 212,408,596.24
  4. Step 4: Simplify right side
    765,063,073.84x = 243,760,325,949,964,096
  5. Step 5: Solve for x
    x = 243,760,325,949,964,096/765,063,073.84
  6. Step 6: Final answer
    x = 318,614,679.34

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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.