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Finding the Fourth Proportional to 149,242,301,998.60, 223,863,452,997.90 and 149,242,301,998.60

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Solution

The fourth proportional to 149,242,301,998.60, 223,863,452,997.90 and 149,242,301,998.60 is: 223,863,452,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,242,301,998.60 : 223,863,452,997.90 = 149,242,301,998.60 : x
  2. Step 2: Convert to fraction form
    149,242,301,998.60/223,863,452,997.90 = 149,242,301,998.60/x
  3. Step 3: Cross multiply
    149,242,301,998.60x = 223,863,452,997.90 × 149,242,301,998.60
  4. Step 4: Simplify right side
    149,242,301,998.60x = 33,409,897,058,761,990,733,824
  5. Step 5: Solve for x
    x = 33,409,897,058,761,990,733,824/149,242,301,998.60
  6. Step 6: Final answer
    x = 223,863,452,997.90

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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.