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Finding the Fourth Proportional to 275,280,579,024.67, 412,920,868,537.01 and 275,280,579,024.67

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Solution

The fourth proportional to 275,280,579,024.67, 412,920,868,537.01 and 275,280,579,024.67 is: 412,920,868,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,579,024.67 : 412,920,868,537.01 = 275,280,579,024.67 : x
  2. Step 2: Convert to fraction form
    275,280,579,024.67/412,920,868,537.01 = 275,280,579,024.67/x
  3. Step 3: Cross multiply
    275,280,579,024.67x = 412,920,868,537.01 × 275,280,579,024.67
  4. Step 4: Simplify right side
    275,280,579,024.67x = 113,669,095,782,237,752,786,944
  5. Step 5: Solve for x
    x = 113,669,095,782,237,752,786,944/275,280,579,024.67
  6. Step 6: Final answer
    x = 412,920,868,537.01

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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.