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Finding the Fourth Proportional to 30,290,016, 45,435,024 and 9,014,880

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Solution

The fourth proportional to 30,290,016, 45,435,024 and 9,014,880 is: 13,522,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290,016 : 45,435,024 = 9,014,880 : x
  2. Step 2: Convert to fraction form
    30,290,016/45,435,024 = 9,014,880/x
  3. Step 3: Cross multiply
    30,290,016x = 45,435,024 × 9,014,880
  4. Step 4: Simplify right side
    30,290,016x = 409,591,289,157,120
  5. Step 5: Solve for x
    x = 409,591,289,157,120/30,290,016
  6. Step 6: Final answer
    x = 13,522,320

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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.