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Finding the Fourth Proportional to 20,180,990,580.70, 30,271,485,871.05 and 20,180,990,580.70

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Solution

The fourth proportional to 20,180,990,580.70, 30,271,485,871.05 and 20,180,990,580.70 is: 30,271,485,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180,990,580.70 : 30,271,485,871.05 = 20,180,990,580.70 : x
  2. Step 2: Convert to fraction form
    20,180,990,580.70/30,271,485,871.05 = 20,180,990,580.70/x
  3. Step 3: Cross multiply
    20,180,990,580.70x = 30,271,485,871.05 × 20,180,990,580.70
  4. Step 4: Simplify right side
    20,180,990,580.70x = 610,908,571,227,453,128,704
  5. Step 5: Solve for x
    x = 610,908,571,227,453,128,704/20,180,990,580.70
  6. Step 6: Final answer
    x = 30,271,485,871.05

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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.