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Finding the Fourth Proportional to 150,156,233.70, 210,672,223.50 and 150,156,233.70

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Solution

The fourth proportional to 150,156,233.70, 210,672,223.50 and 150,156,233.70 is: 210,672,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,156,233.70 : 210,672,223.50 = 150,156,233.70 : x
  2. Step 2: Convert to fraction form
    150,156,233.70/210,672,223.50 = 150,156,233.70/x
  3. Step 3: Cross multiply
    150,156,233.70x = 210,672,223.50 × 150,156,233.70
  4. Step 4: Simplify right side
    150,156,233.70x = 31,633,747,625,964,628
  5. Step 5: Solve for x
    x = 31,633,747,625,964,628/150,156,233.70
  6. Step 6: Final answer
    x = 210,672,223.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.