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Finding the Fourth Proportional to 242,270,999.20, 363,406,498.80 and 242,270,999.20

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Solution

The fourth proportional to 242,270,999.20, 363,406,498.80 and 242,270,999.20 is: 363,406,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,270,999.20 : 363,406,498.80 = 242,270,999.20 : x
  2. Step 2: Convert to fraction form
    242,270,999.20/363,406,498.80 = 242,270,999.20/x
  3. Step 3: Cross multiply
    242,270,999.20x = 363,406,498.80 × 242,270,999.20
  4. Step 4: Simplify right side
    242,270,999.20x = 88,042,855,580,049,600
  5. Step 5: Solve for x
    x = 88,042,855,580,049,600/242,270,999.20
  6. Step 6: Final answer
    x = 363,406,498.80

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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.