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Finding the Fourth Proportional to 126,114,456, 189,171,684 and 30,376,344

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Solution

The fourth proportional to 126,114,456, 189,171,684 and 30,376,344 is: 45,564,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,114,456 : 189,171,684 = 30,376,344 : x
  2. Step 2: Convert to fraction form
    126,114,456/189,171,684 = 30,376,344/x
  3. Step 3: Cross multiply
    126,114,456x = 189,171,684 × 30,376,344
  4. Step 4: Simplify right side
    126,114,456x = 5,746,344,148,243,296
  5. Step 5: Solve for x
    x = 5,746,344,148,243,296/126,114,456
  6. Step 6: Final answer
    x = 45,564,516

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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.