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Finding the Fourth Proportional to 20,229,200,999.60, 30,343,801,499.40 and 20,229,200,999.60

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Solution

The fourth proportional to 20,229,200,999.60, 30,343,801,499.40 and 20,229,200,999.60 is: 30,343,801,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229,200,999.60 : 30,343,801,499.40 = 20,229,200,999.60 : x
  2. Step 2: Convert to fraction form
    20,229,200,999.60/30,343,801,499.40 = 20,229,200,999.60/x
  3. Step 3: Cross multiply
    20,229,200,999.60x = 30,343,801,499.40 × 20,229,200,999.60
  4. Step 4: Simplify right side
    20,229,200,999.60x = 613,830,859,623,326,416,896
  5. Step 5: Solve for x
    x = 613,830,859,623,326,416,896/20,229,200,999.60
  6. Step 6: Final answer
    x = 30,343,801,499.40

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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.