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Finding the Fourth Proportional to 2,086,083,072,079.70, 3,129,124,608,119.70 and 2,086,083,072,079.70

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Solution

The fourth proportional to 2,086,083,072,079.70, 3,129,124,608,119.70 and 2,086,083,072,079.70 is: 3,129,124,608,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,083,072,079.70 : 3,129,124,608,119.70 = 2,086,083,072,079.70 : x
  2. Step 2: Convert to fraction form
    2,086,083,072,079.70/3,129,124,608,119.70 = 2,086,083,072,079.70/x
  3. Step 3: Cross multiply
    2,086,083,072,079.70x = 3,129,124,608,119.70 × 2,086,083,072,079.70
  4. Step 4: Simplify right side
    2,086,083,072,079.70x = 6,527,613,875,426,531,754,377,216
  5. Step 5: Solve for x
    x = 6,527,613,875,426,531,754,377,216/2,086,083,072,079.70
  6. Step 6: Final answer
    x = 3,129,124,608,119.70

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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.