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Finding the Fourth Proportional to 280,600,848,000.05, 420,901,272,000.10 and 280,600,848,000.05

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Solution

The fourth proportional to 280,600,848,000.05, 420,901,272,000.10 and 280,600,848,000.05 is: 420,901,272,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,600,848,000.05 : 420,901,272,000.10 = 280,600,848,000.05 : x
  2. Step 2: Convert to fraction form
    280,600,848,000.05/420,901,272,000.10 = 280,600,848,000.05/x
  3. Step 3: Cross multiply
    280,600,848,000.05x = 420,901,272,000.10 × 280,600,848,000.05
  4. Step 4: Simplify right side
    280,600,848,000.05x = 118,105,253,847,527,743,029,248
  5. Step 5: Solve for x
    x = 118,105,253,847,527,743,029,248/280,600,848,000.05
  6. Step 6: Final answer
    x = 420,901,272,000.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.