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Finding the Fourth Proportional to 275,280,578,776.80, 412,920,868,165.20 and 275,280,578,776.80

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Solution

The fourth proportional to 275,280,578,776.80, 412,920,868,165.20 and 275,280,578,776.80 is: 412,920,868,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,578,776.80 : 412,920,868,165.20 = 275,280,578,776.80 : x
  2. Step 2: Convert to fraction form
    275,280,578,776.80/412,920,868,165.20 = 275,280,578,776.80/x
  3. Step 3: Cross multiply
    275,280,578,776.80x = 412,920,868,165.20 × 275,280,578,776.80
  4. Step 4: Simplify right side
    275,280,578,776.80x = 113,669,095,577,534,980,947,968
  5. Step 5: Solve for x
    x = 113,669,095,577,534,980,947,968/275,280,578,776.80
  6. Step 6: Final answer
    x = 412,920,868,165.20

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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.