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Finding the Fourth Proportional to 210,003,982.70, 315,005,974.05 and 210,003,982.70

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Solution

The fourth proportional to 210,003,982.70, 315,005,974.05 and 210,003,982.70 is: 315,005,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,003,982.70 : 315,005,974.05 = 210,003,982.70 : x
  2. Step 2: Convert to fraction form
    210,003,982.70/315,005,974.05 = 210,003,982.70/x
  3. Step 3: Cross multiply
    210,003,982.70x = 315,005,974.05 × 210,003,982.70
  4. Step 4: Simplify right side
    210,003,982.70x = 66,152,509,124,792,848
  5. Step 5: Solve for x
    x = 66,152,509,124,792,848/210,003,982.70
  6. Step 6: Final answer
    x = 315,005,974.05

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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.