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Finding the Fourth Proportional to 82,768,016,055.90, 124,152,024,083.85 and 82,768,016,055.90

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Solution

The fourth proportional to 82,768,016,055.90, 124,152,024,083.85 and 82,768,016,055.90 is: 124,152,024,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768,016,055.90 : 124,152,024,083.85 = 82,768,016,055.90 : x
  2. Step 2: Convert to fraction form
    82,768,016,055.90/124,152,024,083.85 = 82,768,016,055.90/x
  3. Step 3: Cross multiply
    82,768,016,055.90x = 124,152,024,083.85 × 82,768,016,055.90
  4. Step 4: Simplify right side
    82,768,016,055.90x = 10,275,816,722,744,580,505,600
  5. Step 5: Solve for x
    x = 10,275,816,722,744,580,505,600/82,768,016,055.90
  6. Step 6: Final answer
    x = 124,152,024,083.85

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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.