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Finding the Fourth Proportional to 181,223,999.90, 271,835,999.85 and 181,223,999.90

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Solution

The fourth proportional to 181,223,999.90, 271,835,999.85 and 181,223,999.90 is: 271,835,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,223,999.90 : 271,835,999.85 = 181,223,999.90 : x
  2. Step 2: Convert to fraction form
    181,223,999.90/271,835,999.85 = 181,223,999.90/x
  3. Step 3: Cross multiply
    181,223,999.90x = 271,835,999.85 × 181,223,999.90
  4. Step 4: Simplify right side
    181,223,999.90x = 49,263,207,209,632,808
  5. Step 5: Solve for x
    x = 49,263,207,209,632,808/181,223,999.90
  6. Step 6: Final answer
    x = 271,835,999.85

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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.