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Finding the Fourth Proportional to 589,662,147.66, 813,758,375.07 and 325,361,286.06

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Solution

The fourth proportional to 589,662,147.66, 813,758,375.07 and 325,361,286.06 is: 449,012,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,662,147.66 : 813,758,375.07 = 325,361,286.06 : x
  2. Step 2: Convert to fraction form
    589,662,147.66/813,758,375.07 = 325,361,286.06/x
  3. Step 3: Cross multiply
    589,662,147.66x = 813,758,375.07 × 325,361,286.06
  4. Step 4: Simplify right side
    589,662,147.66x = 264,765,471,454,871,072
  5. Step 5: Solve for x
    x = 264,765,471,454,871,072/589,662,147.66
  6. Step 6: Final answer
    x = 449,012,154.68

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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.