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Finding the Fourth Proportional to 100,144,416.45, 150,216,624.68 and 100,144,416.45

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Solution

The fourth proportional to 100,144,416.45, 150,216,624.68 and 100,144,416.45 is: 150,216,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,144,416.45 : 150,216,624.68 = 100,144,416.45 : x
  2. Step 2: Convert to fraction form
    100,144,416.45/150,216,624.68 = 100,144,416.45/x
  3. Step 3: Cross multiply
    100,144,416.45x = 150,216,624.68 × 100,144,416.45
  4. Step 4: Simplify right side
    100,144,416.45x = 15,043,356,219,667,270
  5. Step 5: Solve for x
    x = 15,043,356,219,667,270/100,144,416.45
  6. Step 6: Final answer
    x = 150,216,624.68

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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.