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Finding the Fourth Proportional to 50,406,057.40, 75,609,086.10 and 50,406,057.40

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Solution

The fourth proportional to 50,406,057.40, 75,609,086.10 and 50,406,057.40 is: 75,609,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,406,057.40 : 75,609,086.10 = 50,406,057.40 : x
  2. Step 2: Convert to fraction form
    50,406,057.40/75,609,086.10 = 50,406,057.40/x
  3. Step 3: Cross multiply
    50,406,057.40x = 75,609,086.10 × 50,406,057.40
  4. Step 4: Simplify right side
    50,406,057.40x = 3,811,155,933,918,141.50
  5. Step 5: Solve for x
    x = 3,811,155,933,918,141.50/50,406,057.40
  6. Step 6: Final answer
    x = 75,609,086.10

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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.