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Finding the Fourth Proportional to 161,405,999.60, 242,108,999.40 and 148,934,850.80

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Solution

The fourth proportional to 161,405,999.60, 242,108,999.40 and 148,934,850.80 is: 223,402,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,405,999.60 : 242,108,999.40 = 148,934,850.80 : x
  2. Step 2: Convert to fraction form
    161,405,999.60/242,108,999.40 = 148,934,850.80/x
  3. Step 3: Cross multiply
    161,405,999.60x = 242,108,999.40 × 148,934,850.80
  4. Step 4: Simplify right side
    161,405,999.60x = 36,058,467,702,976,296
  5. Step 5: Solve for x
    x = 36,058,467,702,976,296/161,405,999.60
  6. Step 6: Final answer
    x = 223,402,276.20

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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.