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Finding the Fourth Proportional to 117,624,203.20, 164,843,945.60 and 117,624,203.20

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Solution

The fourth proportional to 117,624,203.20, 164,843,945.60 and 117,624,203.20 is: 164,843,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,624,203.20 : 164,843,945.60 = 117,624,203.20 : x
  2. Step 2: Convert to fraction form
    117,624,203.20/164,843,945.60 = 117,624,203.20/x
  3. Step 3: Cross multiply
    117,624,203.20x = 164,843,945.60 × 117,624,203.20
  4. Step 4: Simplify right side
    117,624,203.20x = 19,389,637,753,544,144
  5. Step 5: Solve for x
    x = 19,389,637,753,544,144/117,624,203.20
  6. Step 6: Final answer
    x = 164,843,945.60

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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.