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Finding the Fourth Proportional to 2,086,083,072,003.30, 3,129,124,608,005.10 and 2,086,083,072,003.30

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Solution

The fourth proportional to 2,086,083,072,003.30, 3,129,124,608,005.10 and 2,086,083,072,003.30 is: 3,129,124,608,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,083,072,003.30 : 3,129,124,608,005.10 = 2,086,083,072,003.30 : x
  2. Step 2: Convert to fraction form
    2,086,083,072,003.30/3,129,124,608,005.10 = 2,086,083,072,003.30/x
  3. Step 3: Cross multiply
    2,086,083,072,003.30x = 3,129,124,608,005.10 × 2,086,083,072,003.30
  4. Step 4: Simplify right side
    2,086,083,072,003.30x = 6,527,613,874,948,400,962,600,960
  5. Step 5: Solve for x
    x = 6,527,613,874,948,400,962,600,960/2,086,083,072,003.30
  6. Step 6: Final answer
    x = 3,129,124,608,005.10

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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.