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Finding the Fourth Proportional to 66,008,643,371.37, 99,012,965,057.04 and 66,008,643,371.37

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Solution

The fourth proportional to 66,008,643,371.37, 99,012,965,057.04 and 66,008,643,371.37 is: 99,012,965,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,008,643,371.37 : 99,012,965,057.04 = 66,008,643,371.37 : x
  2. Step 2: Convert to fraction form
    66,008,643,371.37/99,012,965,057.04 = 66,008,643,371.37/x
  3. Step 3: Cross multiply
    66,008,643,371.37x = 99,012,965,057.04 × 66,008,643,371.37
  4. Step 4: Simplify right side
    66,008,643,371.37x = 6,535,711,499,591,576,715,264
  5. Step 5: Solve for x
    x = 6,535,711,499,591,576,715,264/66,008,643,371.37
  6. Step 6: Final answer
    x = 99,012,965,057.04

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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.