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Finding the Fourth Proportional to 20,162,034,024.60, 30,184,937,963.55 and 20,162,034,024.60

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Solution

The fourth proportional to 20,162,034,024.60, 30,184,937,963.55 and 20,162,034,024.60 is: 30,184,937,963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162,034,024.60 : 30,184,937,963.55 = 20,162,034,024.60 : x
  2. Step 2: Convert to fraction form
    20,162,034,024.60/30,184,937,963.55 = 20,162,034,024.60/x
  3. Step 3: Cross multiply
    20,162,034,024.60x = 30,184,937,963.55 × 20,162,034,024.60
  4. Step 4: Simplify right side
    20,162,034,024.60x = 608,589,746,251,535,220,736
  5. Step 5: Solve for x
    x = 608,589,746,251,535,220,736/20,162,034,024.60
  6. Step 6: Final answer
    x = 30,184,937,963.55

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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.