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Finding the Fourth Proportional to 27,048,819,076.20, 37,790,950,001.40 and 27,048,819,076.20

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Solution

The fourth proportional to 27,048,819,076.20, 37,790,950,001.40 and 27,048,819,076.20 is: 37,790,950,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048,819,076.20 : 37,790,950,001.40 = 27,048,819,076.20 : x
  2. Step 2: Convert to fraction form
    27,048,819,076.20/37,790,950,001.40 = 27,048,819,076.20/x
  3. Step 3: Cross multiply
    27,048,819,076.20x = 37,790,950,001.40 × 27,048,819,076.20
  4. Step 4: Simplify right side
    27,048,819,076.20x = 1,022,200,569,305,588,826,112
  5. Step 5: Solve for x
    x = 1,022,200,569,305,588,826,112/27,048,819,076.20
  6. Step 6: Final answer
    x = 37,790,950,001.40

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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.