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Finding the Fourth Proportional to 280,600,848,006.90, 420,901,272,010.35 and 280,600,848,006.90

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Solution

The fourth proportional to 280,600,848,006.90, 420,901,272,010.35 and 280,600,848,006.90 is: 420,901,272,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,600,848,006.90 : 420,901,272,010.35 = 280,600,848,006.90 : x
  2. Step 2: Convert to fraction form
    280,600,848,006.90/420,901,272,010.35 = 280,600,848,006.90/x
  3. Step 3: Cross multiply
    280,600,848,006.90x = 420,901,272,010.35 × 280,600,848,006.90
  4. Step 4: Simplify right side
    280,600,848,006.90x = 118,105,253,853,287,092,846,592
  5. Step 5: Solve for x
    x = 118,105,253,853,287,092,846,592/280,600,848,006.90
  6. Step 6: Final answer
    x = 420,901,272,010.35

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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.