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Finding the Fourth Proportional to 2,029,752,046.30, 2,835,530,664.50 and 2,029,752,046.30

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Solution

The fourth proportional to 2,029,752,046.30, 2,835,530,664.50 and 2,029,752,046.30 is: 2,835,530,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,752,046.30 : 2,835,530,664.50 = 2,029,752,046.30 : x
  2. Step 2: Convert to fraction form
    2,029,752,046.30/2,835,530,664.50 = 2,029,752,046.30/x
  3. Step 3: Cross multiply
    2,029,752,046.30x = 2,835,530,664.50 × 2,029,752,046.30
  4. Step 4: Simplify right side
    2,029,752,046.30x = 5,755,424,168,615,273,472
  5. Step 5: Solve for x
    x = 5,755,424,168,615,273,472/2,029,752,046.30
  6. Step 6: Final answer
    x = 2,835,530,664.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.