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Finding the Fourth Proportional to 472,397,968.80, 708,384,376.80 and 181,168,300.80

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Solution

The fourth proportional to 472,397,968.80, 708,384,376.80 and 181,168,300.80 is: 271,670,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,397,968.80 : 708,384,376.80 = 181,168,300.80 : x
  2. Step 2: Convert to fraction form
    472,397,968.80/708,384,376.80 = 181,168,300.80/x
  3. Step 3: Cross multiply
    472,397,968.80x = 708,384,376.80 × 181,168,300.80
  4. Step 4: Simplify right side
    472,397,968.80x = 128,336,793,858,122,944
  5. Step 5: Solve for x
    x = 128,336,793,858,122,944/472,397,968.80
  6. Step 6: Final answer
    x = 271,670,926.49

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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.