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Finding the Fourth Proportional to 280,600,847,999.78, 420,901,271,999.67 and 280,600,847,999.78

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Solution

The fourth proportional to 280,600,847,999.78, 420,901,271,999.67 and 280,600,847,999.78 is: 420,901,271,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,600,847,999.78 : 420,901,271,999.67 = 280,600,847,999.78 : x
  2. Step 2: Convert to fraction form
    280,600,847,999.78/420,901,271,999.67 = 280,600,847,999.78/x
  3. Step 3: Cross multiply
    280,600,847,999.78x = 420,901,271,999.67 × 280,600,847,999.78
  4. Step 4: Simplify right side
    280,600,847,999.78x = 118,105,253,847,293,465,985,024
  5. Step 5: Solve for x
    x = 118,105,253,847,293,465,985,024/280,600,847,999.78
  6. Step 6: Final answer
    x = 420,901,271,999.67

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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.