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Finding the Fourth Proportional to 2,584,929,388,769.70, 3,877,394,083,154.60 and 2,584,929,388,769.70

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Solution

The fourth proportional to 2,584,929,388,769.70, 3,877,394,083,154.60 and 2,584,929,388,769.70 is: 3,877,394,083,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,929,388,769.70 : 3,877,394,083,154.60 = 2,584,929,388,769.70 : x
  2. Step 2: Convert to fraction form
    2,584,929,388,769.70/3,877,394,083,154.60 = 2,584,929,388,769.70/x
  3. Step 3: Cross multiply
    2,584,929,388,769.70x = 3,877,394,083,154.60 × 2,584,929,388,769.70
  4. Step 4: Simplify right side
    2,584,929,388,769.70x = 10,022,789,917,388,071,535,378,432
  5. Step 5: Solve for x
    x = 10,022,789,917,388,071,535,378,432/2,584,929,388,769.70
  6. Step 6: Final answer
    x = 3,877,394,083,154.60

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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.