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Finding the Fourth Proportional to 466,120,872,043.20, 699,181,308,064.80 and 466,120,872,043.20

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Solution

The fourth proportional to 466,120,872,043.20, 699,181,308,064.80 and 466,120,872,043.20 is: 699,181,308,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,120,872,043.20 : 699,181,308,064.80 = 466,120,872,043.20 : x
  2. Step 2: Convert to fraction form
    466,120,872,043.20/699,181,308,064.80 = 466,120,872,043.20/x
  3. Step 3: Cross multiply
    466,120,872,043.20x = 699,181,308,064.80 × 466,120,872,043.20
  4. Step 4: Simplify right side
    466,120,872,043.20x = 325,903,001,031,469,902,594,048
  5. Step 5: Solve for x
    x = 325,903,001,031,469,902,594,048/466,120,872,043.20
  6. Step 6: Final answer
    x = 699,181,308,064.80

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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.