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Finding the Fourth Proportional to 522,768,496.80, 784,152,745.20 and 522,768,496.80

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Solution

The fourth proportional to 522,768,496.80, 784,152,745.20 and 522,768,496.80 is: 784,152,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,768,496.80 : 784,152,745.20 = 522,768,496.80 : x
  2. Step 2: Convert to fraction form
    522,768,496.80/784,152,745.20 = 522,768,496.80/x
  3. Step 3: Cross multiply
    522,768,496.80x = 784,152,745.20 × 522,768,496.80
  4. Step 4: Simplify right side
    522,768,496.80x = 409,930,351,869,797,440
  5. Step 5: Solve for x
    x = 409,930,351,869,797,440/522,768,496.80
  6. Step 6: Final answer
    x = 784,152,745.20

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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.