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Finding the Fourth Proportional to 513,216,266.80, 769,824,400.20 and 513,216,266.80

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Solution

The fourth proportional to 513,216,266.80, 769,824,400.20 and 513,216,266.80 is: 769,824,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,216,266.80 : 769,824,400.20 = 513,216,266.80 : x
  2. Step 2: Convert to fraction form
    513,216,266.80/769,824,400.20 = 513,216,266.80/x
  3. Step 3: Cross multiply
    513,216,266.80x = 769,824,400.20 × 513,216,266.80
  4. Step 4: Simplify right side
    513,216,266.80x = 395,086,404,762,193,216
  5. Step 5: Solve for x
    x = 395,086,404,762,193,216/513,216,266.80
  6. Step 6: Final answer
    x = 769,824,400.20

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Double scale
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Similar ratio
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1.5x scale

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.