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Finding the Fourth Proportional to 20,178,052,675.60, 30,267,079,013.40 and 20,178,052,675.60

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Solution

The fourth proportional to 20,178,052,675.60, 30,267,079,013.40 and 20,178,052,675.60 is: 30,267,079,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178,052,675.60 : 30,267,079,013.40 = 20,178,052,675.60 : x
  2. Step 2: Convert to fraction form
    20,178,052,675.60/30,267,079,013.40 = 20,178,052,675.60/x
  3. Step 3: Cross multiply
    20,178,052,675.60x = 30,267,079,013.40 × 20,178,052,675.60
  4. Step 4: Simplify right side
    20,178,052,675.60x = 610,730,714,668,932,399,104
  5. Step 5: Solve for x
    x = 610,730,714,668,932,399,104/20,178,052,675.60
  6. Step 6: Final answer
    x = 30,267,079,013.40

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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.