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Finding the Fourth Proportional to 3,280,476,684,872.70, 4,920,715,027,309 and 3,280,476,684,872.70

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Solution

The fourth proportional to 3,280,476,684,872.70, 4,920,715,027,309 and 3,280,476,684,872.70 is: 4,920,715,027,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280,476,684,872.70 : 4,920,715,027,309 = 3,280,476,684,872.70 : x
  2. Step 2: Convert to fraction form
    3,280,476,684,872.70/4,920,715,027,309 = 3,280,476,684,872.70/x
  3. Step 3: Cross multiply
    3,280,476,684,872.70x = 4,920,715,027,309 × 3,280,476,684,872.70
  4. Step 4: Simplify right side
    3,280,476,684,872.70x = 16,142,290,919,989,907,541,721,088
  5. Step 5: Solve for x
    x = 16,142,290,919,989,907,541,721,088/3,280,476,684,872.70
  6. Step 6: Final answer
    x = 4,920,715,027,309

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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.