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Finding the Fourth Proportional to 210,037,997.70, 315,056,996.55 and 210,037,997.70

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Solution

The fourth proportional to 210,037,997.70, 315,056,996.55 and 210,037,997.70 is: 315,056,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,037,997.70 : 315,056,996.55 = 210,037,997.70 : x
  2. Step 2: Convert to fraction form
    210,037,997.70/315,056,996.55 = 210,037,997.70/x
  3. Step 3: Cross multiply
    210,037,997.70x = 315,056,996.55 × 210,037,997.70
  4. Step 4: Simplify right side
    210,037,997.70x = 66,173,940,716,737,808
  5. Step 5: Solve for x
    x = 66,173,940,716,737,808/210,037,997.70
  6. Step 6: Final answer
    x = 315,056,996.55

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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.