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Finding the Fourth Proportional to 471,640,512.80, 707,460,769.20 and 471,640,512.80

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Solution

The fourth proportional to 471,640,512.80, 707,460,769.20 and 471,640,512.80 is: 707,460,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,640,512.80 : 707,460,769.20 = 471,640,512.80 : x
  2. Step 2: Convert to fraction form
    471,640,512.80/707,460,769.20 = 471,640,512.80/x
  3. Step 3: Cross multiply
    471,640,512.80x = 707,460,769.20 × 471,640,512.80
  4. Step 4: Simplify right side
    471,640,512.80x = 333,667,159,971,370,496
  5. Step 5: Solve for x
    x = 333,667,159,971,370,496/471,640,512.80
  6. Step 6: Final answer
    x = 707,460,769.20

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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.