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Finding the Fourth Proportional to 20,213,557,711.80, 30,320,336,567.70 and 20,213,557,711.80

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Solution

The fourth proportional to 20,213,557,711.80, 30,320,336,567.70 and 20,213,557,711.80 is: 30,320,336,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,557,711.80 : 30,320,336,567.70 = 20,213,557,711.80 : x
  2. Step 2: Convert to fraction form
    20,213,557,711.80/30,320,336,567.70 = 20,213,557,711.80/x
  3. Step 3: Cross multiply
    20,213,557,711.80x = 30,320,336,567.70 × 20,213,557,711.80
  4. Step 4: Simplify right side
    20,213,557,711.80x = 612,881,873,052,403,892,224
  5. Step 5: Solve for x
    x = 612,881,873,052,403,892,224/20,213,557,711.80
  6. Step 6: Final answer
    x = 30,320,336,567.70

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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.