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Finding the Fourth Proportional to 660,049,722,006.15, 990,074,583,009.15 and 660,049,722,006.15

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Solution

The fourth proportional to 660,049,722,006.15, 990,074,583,009.15 and 660,049,722,006.15 is: 990,074,583,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,049,722,006.15 : 990,074,583,009.15 = 660,049,722,006.15 : x
  2. Step 2: Convert to fraction form
    660,049,722,006.15/990,074,583,009.15 = 660,049,722,006.15/x
  3. Step 3: Cross multiply
    660,049,722,006.15x = 990,074,583,009.15 × 660,049,722,006.15
  4. Step 4: Simplify right side
    660,049,722,006.15x = 653,498,453,280,544,413,188,096
  5. Step 5: Solve for x
    x = 653,498,453,280,544,413,188,096/660,049,722,006.15
  6. Step 6: Final answer
    x = 990,074,583,009.15

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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.