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Finding the Fourth Proportional to 12,082,784,256,659, 18,124,176,384,990 and 12,082,784,256,659

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Solution

The fourth proportional to 12,082,784,256,659, 18,124,176,384,990 and 12,082,784,256,659 is: 18,124,176,384,990

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,256,659 : 18,124,176,384,990 = 12,082,784,256,659 : x
  2. Step 2: Convert to fraction form
    12,082,784,256,659/18,124,176,384,990 = 12,082,784,256,659/x
  3. Step 3: Cross multiply
    12,082,784,256,659x = 18,124,176,384,990 × 12,082,784,256,659
  4. Step 4: Simplify right side
    12,082,784,256,659x = 218,990,513,089,468,015,050,752,000
  5. Step 5: Solve for x
    x = 218,990,513,089,468,015,050,752,000/12,082,784,256,659
  6. Step 6: Final answer
    x = 18,124,176,384,990

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.