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Finding the Fourth Proportional to 100,576,742.40, 150,865,113.60 and 100,576,742.40

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Solution

The fourth proportional to 100,576,742.40, 150,865,113.60 and 100,576,742.40 is: 150,865,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,576,742.40 : 150,865,113.60 = 100,576,742.40 : x
  2. Step 2: Convert to fraction form
    100,576,742.40/150,865,113.60 = 100,576,742.40/x
  3. Step 3: Cross multiply
    100,576,742.40x = 150,865,113.60 × 100,576,742.40
  4. Step 4: Simplify right side
    100,576,742.40x = 15,173,521,667,693,936
  5. Step 5: Solve for x
    x = 15,173,521,667,693,936/100,576,742.40
  6. Step 6: Final answer
    x = 150,865,113.60

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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.