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Finding the Fourth Proportional to 150,150,346.30, 210,512,815.70 and 150,150,346.30

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Solution

The fourth proportional to 150,150,346.30, 210,512,815.70 and 150,150,346.30 is: 210,512,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,150,346.30 : 210,512,815.70 = 150,150,346.30 : x
  2. Step 2: Convert to fraction form
    150,150,346.30/210,512,815.70 = 150,150,346.30/x
  3. Step 3: Cross multiply
    150,150,346.30x = 210,512,815.70 × 150,150,346.30
  4. Step 4: Simplify right side
    150,150,346.30x = 31,608,572,177,943,076
  5. Step 5: Solve for x
    x = 31,608,572,177,943,076/150,150,346.30
  6. Step 6: Final answer
    x = 210,512,815.70

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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.