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Finding the Fourth Proportional to 4,648,512.70, 6,972,769.05 and 4,648,512.70

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Solution

The fourth proportional to 4,648,512.70, 6,972,769.05 and 4,648,512.70 is: 6,972,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,512.70 : 6,972,769.05 = 4,648,512.70 : x
  2. Step 2: Convert to fraction form
    4,648,512.70/6,972,769.05 = 4,648,512.70/x
  3. Step 3: Cross multiply
    4,648,512.70x = 6,972,769.05 × 4,648,512.70
  4. Step 4: Simplify right side
    4,648,512.70x = 32,413,005,483,091.93
  5. Step 5: Solve for x
    x = 32,413,005,483,091.93/4,648,512.70
  6. Step 6: Final answer
    x = 6,972,769.05

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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.