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Finding the Fourth Proportional to 82,727,673,117.20, 124,091,509,675.80 and 82,727,673,117.20

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Solution

The fourth proportional to 82,727,673,117.20, 124,091,509,675.80 and 82,727,673,117.20 is: 124,091,509,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,727,673,117.20 : 124,091,509,675.80 = 82,727,673,117.20 : x
  2. Step 2: Convert to fraction form
    82,727,673,117.20/124,091,509,675.80 = 82,727,673,117.20/x
  3. Step 3: Cross multiply
    82,727,673,117.20x = 124,091,509,675.80 × 82,727,673,117.20
  4. Step 4: Simplify right side
    82,727,673,117.20x = 10,265,801,849,079,444,013,056
  5. Step 5: Solve for x
    x = 10,265,801,849,079,444,013,056/82,727,673,117.20
  6. Step 6: Final answer
    x = 124,091,509,675.80

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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.