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Finding the Fourth Proportional to 20,433,999,024.80, 30,650,998,537.20 and 20,433,999,024.80

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Solution

The fourth proportional to 20,433,999,024.80, 30,650,998,537.20 and 20,433,999,024.80 is: 30,650,998,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433,999,024.80 : 30,650,998,537.20 = 20,433,999,024.80 : x
  2. Step 2: Convert to fraction form
    20,433,999,024.80/30,650,998,537.20 = 20,433,999,024.80/x
  3. Step 3: Cross multiply
    20,433,999,024.80x = 30,650,998,537.20 × 20,433,999,024.80
  4. Step 4: Simplify right side
    20,433,999,024.80x = 626,322,474,218,291,068,928
  5. Step 5: Solve for x
    x = 626,322,474,218,291,068,928/20,433,999,024.80
  6. Step 6: Final answer
    x = 30,650,998,537.20

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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.