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Finding the Fourth Proportional to 20,407,939,713.80, 30,563,536,629.90 and 20,407,939,713.80

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Solution

The fourth proportional to 20,407,939,713.80, 30,563,536,629.90 and 20,407,939,713.80 is: 30,563,536,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407,939,713.80 : 30,563,536,629.90 = 20,407,939,713.80 : x
  2. Step 2: Convert to fraction form
    20,407,939,713.80/30,563,536,629.90 = 20,407,939,713.80/x
  3. Step 3: Cross multiply
    20,407,939,713.80x = 30,563,536,629.90 × 20,407,939,713.80
  4. Step 4: Simplify right side
    20,407,939,713.80x = 623,738,812,983,517,249,536
  5. Step 5: Solve for x
    x = 623,738,812,983,517,249,536/20,407,939,713.80
  6. Step 6: Final answer
    x = 30,563,536,629.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.