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Finding the Fourth Proportional to 226,673,460.80, 339,443,320.80 and 181,323,828.80

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Solution

The fourth proportional to 226,673,460.80, 339,443,320.80 and 181,323,828.80 is: 271,532,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,673,460.80 : 339,443,320.80 = 181,323,828.80 : x
  2. Step 2: Convert to fraction form
    226,673,460.80/339,443,320.80 = 181,323,828.80/x
  3. Step 3: Cross multiply
    226,673,460.80x = 339,443,320.80 × 181,323,828.80
  4. Step 4: Simplify right side
    226,673,460.80x = 61,549,162,588,042,688
  5. Step 5: Solve for x
    x = 61,549,162,588,042,688/226,673,460.80
  6. Step 6: Final answer
    x = 271,532,284.24

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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.