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Finding the Fourth Proportional to 493,366,662.42, 740,095,658.20 and 161,375,557.20

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Solution

The fourth proportional to 493,366,662.42, 740,095,658.20 and 161,375,557.20 is: 242,078,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,366,662.42 : 740,095,658.20 = 161,375,557.20 : x
  2. Step 2: Convert to fraction form
    493,366,662.42/740,095,658.20 = 161,375,557.20/x
  3. Step 3: Cross multiply
    493,366,662.42x = 740,095,658.20 × 161,375,557.20
  4. Step 4: Simplify right side
    493,366,662.42x = 119,433,349,223,325,744
  5. Step 5: Solve for x
    x = 119,433,349,223,325,744/493,366,662.42
  6. Step 6: Final answer
    x = 242,078,272.25

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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.