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Finding the Fourth Proportional to 8,055,764,581.60, 12,083,646,872.48 and 8,055,764,581.60

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Solution

The fourth proportional to 8,055,764,581.60, 12,083,646,872.48 and 8,055,764,581.60 is: 12,083,646,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055,764,581.60 : 12,083,646,872.48 = 8,055,764,581.60 : x
  2. Step 2: Convert to fraction form
    8,055,764,581.60/12,083,646,872.48 = 8,055,764,581.60/x
  3. Step 3: Cross multiply
    8,055,764,581.60x = 12,083,646,872.48 × 8,055,764,581.60
  4. Step 4: Simplify right side
    8,055,764,581.60x = 97,343,014,491,885,993,984
  5. Step 5: Solve for x
    x = 97,343,014,491,885,993,984/8,055,764,581.60
  6. Step 6: Final answer
    x = 12,083,646,872.48

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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.