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Finding the Fourth Proportional to 20,155,431,696.15, 30,178,727,985.83 and 20,155,431,696.15

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Solution

The fourth proportional to 20,155,431,696.15, 30,178,727,985.83 and 20,155,431,696.15 is: 30,178,727,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155,431,696.15 : 30,178,727,985.83 = 20,155,431,696.15 : x
  2. Step 2: Convert to fraction form
    20,155,431,696.15/30,178,727,985.83 = 20,155,431,696.15/x
  3. Step 3: Cross multiply
    20,155,431,696.15x = 30,178,727,985.83 × 20,155,431,696.15
  4. Step 4: Simplify right side
    20,155,431,696.15x = 608,265,290,594,986,360,832
  5. Step 5: Solve for x
    x = 608,265,290,594,986,360,832/20,155,431,696.15
  6. Step 6: Final answer
    x = 30,178,727,985.83

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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.