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Finding the Fourth Proportional to 100,404,423.20, 150,606,634.86 and 100,404,423.20

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Solution

The fourth proportional to 100,404,423.20, 150,606,634.86 and 100,404,423.20 is: 150,606,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,404,423.20 : 150,606,634.86 = 100,404,423.20 : x
  2. Step 2: Convert to fraction form
    100,404,423.20/150,606,634.86 = 100,404,423.20/x
  3. Step 3: Cross multiply
    100,404,423.20x = 150,606,634.86 × 100,404,423.20
  4. Step 4: Simplify right side
    100,404,423.20x = 15,121,572,303,211,314
  5. Step 5: Solve for x
    x = 15,121,572,303,211,314/100,404,423.20
  6. Step 6: Final answer
    x = 150,606,634.86

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1.5x scale

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.