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Finding the Fourth Proportional to 435,980,220,655.20, 653,970,330,982.80 and 435,980,220,655.20

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Solution

The fourth proportional to 435,980,220,655.20, 653,970,330,982.80 and 435,980,220,655.20 is: 653,970,330,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,980,220,655.20 : 653,970,330,982.80 = 435,980,220,655.20 : x
  2. Step 2: Convert to fraction form
    435,980,220,655.20/653,970,330,982.80 = 435,980,220,655.20/x
  3. Step 3: Cross multiply
    435,980,220,655.20x = 653,970,330,982.80 × 435,980,220,655.20
  4. Step 4: Simplify right side
    435,980,220,655.20x = 285,118,129,203,835,352,121,344
  5. Step 5: Solve for x
    x = 285,118,129,203,835,352,121,344/435,980,220,655.20
  6. Step 6: Final answer
    x = 653,970,330,982.80

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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.