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Finding the Fourth Proportional to 314,928,605.70, 472,392,908.55 and 314,928,605.70

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Solution

The fourth proportional to 314,928,605.70, 472,392,908.55 and 314,928,605.70 is: 472,392,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,605.70 : 472,392,908.55 = 314,928,605.70 : x
  2. Step 2: Convert to fraction form
    314,928,605.70/472,392,908.55 = 314,928,605.70/x
  3. Step 3: Cross multiply
    314,928,605.70x = 472,392,908.55 × 314,928,605.70
  4. Step 4: Simplify right side
    314,928,605.70x = 148,770,040,032,219,104
  5. Step 5: Solve for x
    x = 148,770,040,032,219,104/314,928,605.70
  6. Step 6: Final answer
    x = 472,392,908.55

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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.