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Finding the Fourth Proportional to 275,280,576,552.55, 412,920,864,828.82 and 275,280,576,552.55

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Solution

The fourth proportional to 275,280,576,552.55, 412,920,864,828.82 and 275,280,576,552.55 is: 412,920,864,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,576,552.55 : 412,920,864,828.82 = 275,280,576,552.55 : x
  2. Step 2: Convert to fraction form
    275,280,576,552.55/412,920,864,828.82 = 275,280,576,552.55/x
  3. Step 3: Cross multiply
    275,280,576,552.55x = 412,920,864,828.82 × 275,280,576,552.55
  4. Step 4: Simplify right side
    275,280,576,552.55x = 113,669,093,740,655,130,181,632
  5. Step 5: Solve for x
    x = 113,669,093,740,655,130,181,632/275,280,576,552.55
  6. Step 6: Final answer
    x = 412,920,864,828.82

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1.5x scale

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.