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Finding the Fourth Proportional to 150,174,034.10, 210,848,309.50 and 150,174,034.10

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Solution

The fourth proportional to 150,174,034.10, 210,848,309.50 and 150,174,034.10 is: 210,848,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,174,034.10 : 210,848,309.50 = 150,174,034.10 : x
  2. Step 2: Convert to fraction form
    150,174,034.10/210,848,309.50 = 150,174,034.10/x
  3. Step 3: Cross multiply
    150,174,034.10x = 210,848,309.50 × 150,174,034.10
  4. Step 4: Simplify right side
    150,174,034.10x = 31,663,941,220,780,352
  5. Step 5: Solve for x
    x = 31,663,941,220,780,352/150,174,034.10
  6. Step 6: Final answer
    x = 210,848,309.50

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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.