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Finding the Fourth Proportional to 150,757,328.40, 211,347,237.90 and 150,757,328.40

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Solution

The fourth proportional to 150,757,328.40, 211,347,237.90 and 150,757,328.40 is: 211,347,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,757,328.40 : 211,347,237.90 = 150,757,328.40 : x
  2. Step 2: Convert to fraction form
    150,757,328.40/211,347,237.90 = 150,757,328.40/x
  3. Step 3: Cross multiply
    150,757,328.40x = 211,347,237.90 × 150,757,328.40
  4. Step 4: Simplify right side
    150,757,328.40x = 31,862,144,950,523,228
  5. Step 5: Solve for x
    x = 31,862,144,950,523,228/150,757,328.40
  6. Step 6: Final answer
    x = 211,347,237.90

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Why These Related Problems?

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