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Finding the Fourth Proportional to 82,828,604,301.14, 124,242,906,451.70 and 82,828,604,301.14

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Solution

The fourth proportional to 82,828,604,301.14, 124,242,906,451.70 and 82,828,604,301.14 is: 124,242,906,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,828,604,301.14 : 124,242,906,451.70 = 82,828,604,301.14 : x
  2. Step 2: Convert to fraction form
    82,828,604,301.14/124,242,906,451.70 = 82,828,604,301.14/x
  3. Step 3: Cross multiply
    82,828,604,301.14x = 124,242,906,451.70 × 82,828,604,301.14
  4. Step 4: Simplify right side
    82,828,604,301.14x = 10,290,866,535,711,413,108,736
  5. Step 5: Solve for x
    x = 10,290,866,535,711,413,108,736/82,828,604,301.14
  6. Step 6: Final answer
    x = 124,242,906,451.70

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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.