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Finding the Fourth Proportional to 280,600,848,005.78, 420,901,272,008.67 and 280,600,848,005.78

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Solution

The fourth proportional to 280,600,848,005.78, 420,901,272,008.67 and 280,600,848,005.78 is: 420,901,272,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,600,848,005.78 : 420,901,272,008.67 = 280,600,848,005.78 : x
  2. Step 2: Convert to fraction form
    280,600,848,005.78/420,901,272,008.67 = 280,600,848,005.78/x
  3. Step 3: Cross multiply
    280,600,848,005.78x = 420,901,272,008.67 × 280,600,848,005.78
  4. Step 4: Simplify right side
    280,600,848,005.78x = 118,105,253,852,344,280,416,256
  5. Step 5: Solve for x
    x = 118,105,253,852,344,280,416,256/280,600,848,005.78
  6. Step 6: Final answer
    x = 420,901,272,008.67

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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.