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Finding the Fourth Proportional to 301,212,902.10, 451,819,353.21 and 301,212,902.10

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Solution

The fourth proportional to 301,212,902.10, 451,819,353.21 and 301,212,902.10 is: 451,819,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,212,902.10 : 451,819,353.21 = 301,212,902.10 : x
  2. Step 2: Convert to fraction form
    301,212,902.10/451,819,353.21 = 301,212,902.10/x
  3. Step 3: Cross multiply
    301,212,902.10x = 451,819,353.21 × 301,212,902.10
  4. Step 4: Simplify right side
    301,212,902.10x = 136,093,818,605,329,056
  5. Step 5: Solve for x
    x = 136,093,818,605,329,056/301,212,902.10
  6. Step 6: Final answer
    x = 451,819,353.21

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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.