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Finding the Fourth Proportional to 280,600,848,000.28, 420,901,272,000.40 and 280,600,848,000.28

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Solution

The fourth proportional to 280,600,848,000.28, 420,901,272,000.40 and 280,600,848,000.28 is: 420,901,272,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,600,848,000.28 : 420,901,272,000.40 = 280,600,848,000.28 : x
  2. Step 2: Convert to fraction form
    280,600,848,000.28/420,901,272,000.40 = 280,600,848,000.28/x
  3. Step 3: Cross multiply
    280,600,848,000.28x = 420,901,272,000.40 × 280,600,848,000.28
  4. Step 4: Simplify right side
    280,600,848,000.28x = 118,105,253,847,708,769,189,888
  5. Step 5: Solve for x
    x = 118,105,253,847,708,769,189,888/280,600,848,000.28
  6. Step 6: Final answer
    x = 420,901,272,000.40

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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.