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Finding the Fourth Proportional to 275,280,578,771.30, 412,920,868,156.95 and 275,280,578,771.30

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Solution

The fourth proportional to 275,280,578,771.30, 412,920,868,156.95 and 275,280,578,771.30 is: 412,920,868,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,578,771.30 : 412,920,868,156.95 = 275,280,578,771.30 : x
  2. Step 2: Convert to fraction form
    275,280,578,771.30/412,920,868,156.95 = 275,280,578,771.30/x
  3. Step 3: Cross multiply
    275,280,578,771.30x = 412,920,868,156.95 × 275,280,578,771.30
  4. Step 4: Simplify right side
    275,280,578,771.30x = 113,669,095,572,992,851,705,856
  5. Step 5: Solve for x
    x = 113,669,095,572,992,851,705,856/275,280,578,771.30
  6. Step 6: Final answer
    x = 412,920,868,156.95

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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.