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Finding the Fourth Proportional to 275,280,697,128.54, 412,921,045,692.82 and 275,280,697,128.54

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Solution

The fourth proportional to 275,280,697,128.54, 412,921,045,692.82 and 275,280,697,128.54 is: 412,921,045,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,697,128.54 : 412,921,045,692.82 = 275,280,697,128.54 : x
  2. Step 2: Convert to fraction form
    275,280,697,128.54/412,921,045,692.82 = 275,280,697,128.54/x
  3. Step 3: Cross multiply
    275,280,697,128.54x = 412,921,045,692.82 × 275,280,697,128.54
  4. Step 4: Simplify right side
    275,280,697,128.54x = 113,669,193,317,365,206,482,944
  5. Step 5: Solve for x
    x = 113,669,193,317,365,206,482,944/275,280,697,128.54
  6. Step 6: Final answer
    x = 412,921,045,692.82

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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.