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Finding the Fourth Proportional to 199,946,698.47, 275,859,616.47 and 116,297,072.22

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Solution

The fourth proportional to 199,946,698.47, 275,859,616.47 and 116,297,072.22 is: 160,451,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,946,698.47 : 275,859,616.47 = 116,297,072.22 : x
  2. Step 2: Convert to fraction form
    199,946,698.47/275,859,616.47 = 116,297,072.22/x
  3. Step 3: Cross multiply
    199,946,698.47x = 275,859,616.47 × 116,297,072.22
  4. Step 4: Simplify right side
    199,946,698.47x = 32,081,665,739,193,096
  5. Step 5: Solve for x
    x = 32,081,665,739,193,096/199,946,698.47
  6. Step 6: Final answer
    x = 160,451,090.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.