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Finding the Fourth Proportional to 8,055,764,523.10, 12,083,646,784.65 and 8,055,764,523.10

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Solution

The fourth proportional to 8,055,764,523.10, 12,083,646,784.65 and 8,055,764,523.10 is: 12,083,646,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055,764,523.10 : 12,083,646,784.65 = 8,055,764,523.10 : x
  2. Step 2: Convert to fraction form
    8,055,764,523.10/12,083,646,784.65 = 8,055,764,523.10/x
  3. Step 3: Cross multiply
    8,055,764,523.10x = 12,083,646,784.65 × 8,055,764,523.10
  4. Step 4: Simplify right side
    8,055,764,523.10x = 97,343,013,077,454,864,384
  5. Step 5: Solve for x
    x = 97,343,013,077,454,864,384/8,055,764,523.10
  6. Step 6: Final answer
    x = 12,083,646,784.65

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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.