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Finding the Fourth Proportional to 4,478,978,511.45, 6,718,467,767.18 and 4,478,978,511.45

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Solution

The fourth proportional to 4,478,978,511.45, 6,718,467,767.18 and 4,478,978,511.45 is: 6,718,467,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478,978,511.45 : 6,718,467,767.18 = 4,478,978,511.45 : x
  2. Step 2: Convert to fraction form
    4,478,978,511.45/6,718,467,767.18 = 4,478,978,511.45/x
  3. Step 3: Cross multiply
    4,478,978,511.45x = 6,718,467,767.18 × 4,478,978,511.45
  4. Step 4: Simplify right side
    4,478,978,511.45x = 30,091,872,759,046,287,360
  5. Step 5: Solve for x
    x = 30,091,872,759,046,287,360/4,478,978,511.45
  6. Step 6: Final answer
    x = 6,718,467,767.18

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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.