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Finding the Fourth Proportional to 121,101,022.80, 181,651,534.20 and 121,101,022.80

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Solution

The fourth proportional to 121,101,022.80, 181,651,534.20 and 121,101,022.80 is: 181,651,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,101,022.80 : 181,651,534.20 = 121,101,022.80 : x
  2. Step 2: Convert to fraction form
    121,101,022.80/181,651,534.20 = 121,101,022.80/x
  3. Step 3: Cross multiply
    121,101,022.80x = 181,651,534.20 × 121,101,022.80
  4. Step 4: Simplify right side
    121,101,022.80x = 21,998,186,584,809,176
  5. Step 5: Solve for x
    x = 21,998,186,584,809,176/121,101,022.80
  6. Step 6: Final answer
    x = 181,651,534.20

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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.