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Finding the Fourth Proportional to 275,280,579,005.43, 412,920,868,508.13 and 275,280,579,005.43

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Solution

The fourth proportional to 275,280,579,005.43, 412,920,868,508.13 and 275,280,579,005.43 is: 412,920,868,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,579,005.43 : 412,920,868,508.13 = 275,280,579,005.43 : x
  2. Step 2: Convert to fraction form
    275,280,579,005.43/412,920,868,508.13 = 275,280,579,005.43/x
  3. Step 3: Cross multiply
    275,280,579,005.43x = 412,920,868,508.13 × 275,280,579,005.43
  4. Step 4: Simplify right side
    275,280,579,005.43x = 113,669,095,766,343,051,902,976
  5. Step 5: Solve for x
    x = 113,669,095,766,343,051,902,976/275,280,579,005.43
  6. Step 6: Final answer
    x = 412,920,868,508.13

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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.