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Finding the Fourth Proportional to 365,963,067.40, 548,975,601.84 and 117,004,216.54

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Solution

The fourth proportional to 365,963,067.40, 548,975,601.84 and 117,004,216.54 is: 175,516,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,963,067.40 : 548,975,601.84 = 117,004,216.54 : x
  2. Step 2: Convert to fraction form
    365,963,067.40/548,975,601.84 = 117,004,216.54/x
  3. Step 3: Cross multiply
    365,963,067.40x = 548,975,601.84 × 117,004,216.54
  4. Step 4: Simplify right side
    365,963,067.40x = 64,232,460,192,864,192
  5. Step 5: Solve for x
    x = 64,232,460,192,864,192/365,963,067.40
  6. Step 6: Final answer
    x = 175,516,236.24

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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.