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Finding the Fourth Proportional to 210,235,964.70, 315,353,947.05 and 210,235,964.70

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Solution

The fourth proportional to 210,235,964.70, 315,353,947.05 and 210,235,964.70 is: 315,353,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,235,964.70 : 315,353,947.05 = 210,235,964.70 : x
  2. Step 2: Convert to fraction form
    210,235,964.70/315,353,947.05 = 210,235,964.70/x
  3. Step 3: Cross multiply
    210,235,964.70x = 315,353,947.05 × 210,235,964.70
  4. Step 4: Simplify right side
    210,235,964.70x = 66,298,741,280,009,464
  5. Step 5: Solve for x
    x = 66,298,741,280,009,464/210,235,964.70
  6. Step 6: Final answer
    x = 315,353,947.05

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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.