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Finding the Fourth Proportional to 4,280,201,999.70, 6,420,302,999.64 and 4,280,201,999.70

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Solution

The fourth proportional to 4,280,201,999.70, 6,420,302,999.64 and 4,280,201,999.70 is: 6,420,302,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280,201,999.70 : 6,420,302,999.64 = 4,280,201,999.70 : x
  2. Step 2: Convert to fraction form
    4,280,201,999.70/6,420,302,999.64 = 4,280,201,999.70/x
  3. Step 3: Cross multiply
    4,280,201,999.70x = 6,420,302,999.64 × 4,280,201,999.70
  4. Step 4: Simplify right side
    4,280,201,999.70x = 27,480,193,737,739,034,624
  5. Step 5: Solve for x
    x = 27,480,193,737,739,034,624/4,280,201,999.70
  6. Step 6: Final answer
    x = 6,420,302,999.64

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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.