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Finding the Fourth Proportional to 314,928,273.67, 472,392,410.51 and 314,928,273.67

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Solution

The fourth proportional to 314,928,273.67, 472,392,410.51 and 314,928,273.67 is: 472,392,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,273.67 : 472,392,410.51 = 314,928,273.67 : x
  2. Step 2: Convert to fraction form
    314,928,273.67/472,392,410.51 = 314,928,273.67/x
  3. Step 3: Cross multiply
    314,928,273.67x = 472,392,410.51 × 314,928,273.67
  4. Step 4: Simplify right side
    314,928,273.67x = 148,769,726,336,724,256
  5. Step 5: Solve for x
    x = 148,769,726,336,724,256/314,928,273.67
  6. Step 6: Final answer
    x = 472,392,410.51

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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.