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Finding the Fourth Proportional to 100,315,276.20, 150,472,914.30 and 100,315,276.20

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Solution

The fourth proportional to 100,315,276.20, 150,472,914.30 and 100,315,276.20 is: 150,472,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,315,276.20 : 150,472,914.30 = 100,315,276.20 : x
  2. Step 2: Convert to fraction form
    100,315,276.20/150,472,914.30 = 100,315,276.20/x
  3. Step 3: Cross multiply
    100,315,276.20x = 150,472,914.30 × 100,315,276.20
  4. Step 4: Simplify right side
    100,315,276.20x = 15,094,731,958,623,432
  5. Step 5: Solve for x
    x = 15,094,731,958,623,432/100,315,276.20
  6. Step 6: Final answer
    x = 150,472,914.30

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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.