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Finding the Fourth Proportional to 100,284,704.10, 150,427,056.15 and 100,284,704.10

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Solution

The fourth proportional to 100,284,704.10, 150,427,056.15 and 100,284,704.10 is: 150,427,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,284,704.10 : 150,427,056.15 = 100,284,704.10 : x
  2. Step 2: Convert to fraction form
    100,284,704.10/150,427,056.15 = 100,284,704.10/x
  3. Step 3: Cross multiply
    100,284,704.10x = 150,427,056.15 × 100,284,704.10
  4. Step 4: Simplify right side
    100,284,704.10x = 15,085,532,814,636,834
  5. Step 5: Solve for x
    x = 15,085,532,814,636,834/100,284,704.10
  6. Step 6: Final answer
    x = 150,427,056.15

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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.