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Finding the Fourth Proportional to 315,474,857.55, 473,212,286.33 and 315,474,857.55

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Solution

The fourth proportional to 315,474,857.55, 473,212,286.33 and 315,474,857.55 is: 473,212,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,474,857.55 : 473,212,286.33 = 315,474,857.55 : x
  2. Step 2: Convert to fraction form
    315,474,857.55/473,212,286.33 = 315,474,857.55/x
  3. Step 3: Cross multiply
    315,474,857.55x = 473,212,286.33 × 315,474,857.55
  4. Step 4: Simplify right side
    315,474,857.55x = 149,286,578,619,289,184
  5. Step 5: Solve for x
    x = 149,286,578,619,289,184/315,474,857.55
  6. Step 6: Final answer
    x = 473,212,286.33

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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.