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Finding the Fourth Proportional to 20,180,990,460.45, 30,271,485,690.69 and 20,180,990,460.45

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Solution

The fourth proportional to 20,180,990,460.45, 30,271,485,690.69 and 20,180,990,460.45 is: 30,271,485,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180,990,460.45 : 30,271,485,690.69 = 20,180,990,460.45 : x
  2. Step 2: Convert to fraction form
    20,180,990,460.45/30,271,485,690.69 = 20,180,990,460.45/x
  3. Step 3: Cross multiply
    20,180,990,460.45x = 30,271,485,690.69 × 20,180,990,460.45
  4. Step 4: Simplify right side
    20,180,990,460.45x = 610,908,563,947,463,507,968
  5. Step 5: Solve for x
    x = 610,908,563,947,463,507,968/20,180,990,460.45
  6. Step 6: Final answer
    x = 30,271,485,690.69

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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.