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Finding the Fourth Proportional to 242,271,142.20, 363,406,713.30 and 242,271,142.20

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Solution

The fourth proportional to 242,271,142.20, 363,406,713.30 and 242,271,142.20 is: 363,406,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,271,142.20 : 363,406,713.30 = 242,271,142.20 : x
  2. Step 2: Convert to fraction form
    242,271,142.20/363,406,713.30 = 242,271,142.20/x
  3. Step 3: Cross multiply
    242,271,142.20x = 363,406,713.30 × 242,271,142.20
  4. Step 4: Simplify right side
    242,271,142.20x = 88,042,959,514,338,928
  5. Step 5: Solve for x
    x = 88,042,959,514,338,928/242,271,142.20
  6. Step 6: Final answer
    x = 363,406,713.30

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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.