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Finding the Fourth Proportional to 150,201,223,391.70, 225,301,835,087.55 and 150,201,223,391.70

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Solution

The fourth proportional to 150,201,223,391.70, 225,301,835,087.55 and 150,201,223,391.70 is: 225,301,835,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,201,223,391.70 : 225,301,835,087.55 = 150,201,223,391.70 : x
  2. Step 2: Convert to fraction form
    150,201,223,391.70/225,301,835,087.55 = 150,201,223,391.70/x
  3. Step 3: Cross multiply
    150,201,223,391.70x = 225,301,835,087.55 × 150,201,223,391.70
  4. Step 4: Simplify right side
    150,201,223,391.70x = 33,840,611,262,545,050,730,496
  5. Step 5: Solve for x
    x = 33,840,611,262,545,050,730,496/150,201,223,391.70
  6. Step 6: Final answer
    x = 225,301,835,087.55

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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.