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Finding the Fourth Proportional to 2,874,021,769.20, 4,311,032,653.80 and 2,874,021,769.20

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Solution

The fourth proportional to 2,874,021,769.20, 4,311,032,653.80 and 2,874,021,769.20 is: 4,311,032,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874,021,769.20 : 4,311,032,653.80 = 2,874,021,769.20 : x
  2. Step 2: Convert to fraction form
    2,874,021,769.20/4,311,032,653.80 = 2,874,021,769.20/x
  3. Step 3: Cross multiply
    2,874,021,769.20x = 4,311,032,653.80 × 2,874,021,769.20
  4. Step 4: Simplify right side
    2,874,021,769.20x = 12,390,001,694,753,247,232
  5. Step 5: Solve for x
    x = 12,390,001,694,753,247,232/2,874,021,769.20
  6. Step 6: Final answer
    x = 4,311,032,653.80

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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.