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Finding the Fourth Proportional to 660,049,722,446.70, 990,074,583,670.20 and 660,049,722,446.70

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Solution

The fourth proportional to 660,049,722,446.70, 990,074,583,670.20 and 660,049,722,446.70 is: 990,074,583,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,049,722,446.70 : 990,074,583,670.20 = 660,049,722,446.70 : x
  2. Step 2: Convert to fraction form
    660,049,722,446.70/990,074,583,670.20 = 660,049,722,446.70/x
  3. Step 3: Cross multiply
    660,049,722,446.70x = 990,074,583,670.20 × 660,049,722,446.70
  4. Step 4: Simplify right side
    660,049,722,446.70x = 653,498,454,153,047,423,582,208
  5. Step 5: Solve for x
    x = 653,498,454,153,047,423,582,208/660,049,722,446.70
  6. Step 6: Final answer
    x = 990,074,583,670.20

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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.