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Finding the Fourth Proportional to 20,270,209,500.30, 30,405,314,250.45 and 20,270,209,500.30

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Solution

The fourth proportional to 20,270,209,500.30, 30,405,314,250.45 and 20,270,209,500.30 is: 30,405,314,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270,209,500.30 : 30,405,314,250.45 = 20,270,209,500.30 : x
  2. Step 2: Convert to fraction form
    20,270,209,500.30/30,405,314,250.45 = 20,270,209,500.30/x
  3. Step 3: Cross multiply
    20,270,209,500.30x = 30,405,314,250.45 × 20,270,209,500.30
  4. Step 4: Simplify right side
    20,270,209,500.30x = 616,322,089,779,078,496,256
  5. Step 5: Solve for x
    x = 616,322,089,779,078,496,256/20,270,209,500.30
  6. Step 6: Final answer
    x = 30,405,314,250.45

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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.