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Finding the Fourth Proportional to 82,828,604,300.14, 124,242,906,450.20 and 82,828,604,300.14

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Solution

The fourth proportional to 82,828,604,300.14, 124,242,906,450.20 and 82,828,604,300.14 is: 124,242,906,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,828,604,300.14 : 124,242,906,450.20 = 82,828,604,300.14 : x
  2. Step 2: Convert to fraction form
    82,828,604,300.14/124,242,906,450.20 = 82,828,604,300.14/x
  3. Step 3: Cross multiply
    82,828,604,300.14x = 124,242,906,450.20 × 82,828,604,300.14
  4. Step 4: Simplify right side
    82,828,604,300.14x = 10,290,866,535,462,305,005,568
  5. Step 5: Solve for x
    x = 10,290,866,535,462,305,005,568/82,828,604,300.14
  6. Step 6: Final answer
    x = 124,242,906,450.20

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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.