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Finding the Fourth Proportional to 275,280,584,443.30, 412,920,876,664.93 and 275,280,584,443.30

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Solution

The fourth proportional to 275,280,584,443.30, 412,920,876,664.93 and 275,280,584,443.30 is: 412,920,876,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,584,443.30 : 412,920,876,664.93 = 275,280,584,443.30 : x
  2. Step 2: Convert to fraction form
    275,280,584,443.30/412,920,876,664.93 = 275,280,584,443.30/x
  3. Step 3: Cross multiply
    275,280,584,443.30x = 412,920,876,664.93 × 275,280,584,443.30
  4. Step 4: Simplify right side
    275,280,584,443.30x = 113,669,100,257,161,712,238,592
  5. Step 5: Solve for x
    x = 113,669,100,257,161,712,238,592/275,280,584,443.30
  6. Step 6: Final answer
    x = 412,920,876,664.93

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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.