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Finding the Fourth Proportional to 8,022,768,164.20, 12,034,152,246.30 and 8,022,768,164.20

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Solution

The fourth proportional to 8,022,768,164.20, 12,034,152,246.30 and 8,022,768,164.20 is: 12,034,152,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022,768,164.20 : 12,034,152,246.30 = 8,022,768,164.20 : x
  2. Step 2: Convert to fraction form
    8,022,768,164.20/12,034,152,246.30 = 8,022,768,164.20/x
  3. Step 3: Cross multiply
    8,022,768,164.20x = 12,034,152,246.30 × 8,022,768,164.20
  4. Step 4: Simplify right side
    8,022,768,164.20x = 96,547,213,524,751,548,416
  5. Step 5: Solve for x
    x = 96,547,213,524,751,548,416/8,022,768,164.20
  6. Step 6: Final answer
    x = 12,034,152,246.30

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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.