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Finding the Fourth Proportional to 30,241,462.05, 45,362,193.09 and 30,241,462.05

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Solution

The fourth proportional to 30,241,462.05, 45,362,193.09 and 30,241,462.05 is: 45,362,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241,462.05 : 45,362,193.09 = 30,241,462.05 : x
  2. Step 2: Convert to fraction form
    30,241,462.05/45,362,193.09 = 30,241,462.05/x
  3. Step 3: Cross multiply
    30,241,462.05x = 45,362,193.09 × 30,241,462.05
  4. Step 4: Simplify right side
    30,241,462.05x = 1,371,819,040,836,007.50
  5. Step 5: Solve for x
    x = 1,371,819,040,836,007.50/30,241,462.05
  6. Step 6: Final answer
    x = 45,362,193.09

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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.