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Finding the Fourth Proportional to 50,202,214.35, 75,303,321.53 and 50,202,214.35

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Solution

The fourth proportional to 50,202,214.35, 75,303,321.53 and 50,202,214.35 is: 75,303,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,202,214.35 : 75,303,321.53 = 50,202,214.35 : x
  2. Step 2: Convert to fraction form
    50,202,214.35/75,303,321.53 = 50,202,214.35/x
  3. Step 3: Cross multiply
    50,202,214.35x = 75,303,321.53 × 50,202,214.35
  4. Step 4: Simplify right side
    50,202,214.35x = 3,780,393,488,465,019.50
  5. Step 5: Solve for x
    x = 3,780,393,488,465,019.50/50,202,214.35
  6. Step 6: Final answer
    x = 75,303,321.53

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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.