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Finding the Fourth Proportional to 100,150,337.70, 150,225,506.55 and 100,150,337.70

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Solution

The fourth proportional to 100,150,337.70, 150,225,506.55 and 100,150,337.70 is: 150,225,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,150,337.70 : 150,225,506.55 = 100,150,337.70 : x
  2. Step 2: Convert to fraction form
    100,150,337.70/150,225,506.55 = 100,150,337.70/x
  3. Step 3: Cross multiply
    100,150,337.70x = 150,225,506.55 × 100,150,337.70
  4. Step 4: Simplify right side
    100,150,337.70x = 15,045,135,212,136,064
  5. Step 5: Solve for x
    x = 15,045,135,212,136,064/100,150,337.70
  6. Step 6: Final answer
    x = 150,225,506.55

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Similar ratio
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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.