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Finding the Fourth Proportional to 422,305,056.60, 633,457,584.90 and 422,305,056.60

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Solution

The fourth proportional to 422,305,056.60, 633,457,584.90 and 422,305,056.60 is: 633,457,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,305,056.60 : 633,457,584.90 = 422,305,056.60 : x
  2. Step 2: Convert to fraction form
    422,305,056.60/633,457,584.90 = 422,305,056.60/x
  3. Step 3: Cross multiply
    422,305,056.60x = 633,457,584.90 × 422,305,056.60
  4. Step 4: Simplify right side
    422,305,056.60x = 267,512,341,244,893,824
  5. Step 5: Solve for x
    x = 267,512,341,244,893,824/422,305,056.60
  6. Step 6: Final answer
    x = 633,457,584.90

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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.