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Finding the Fourth Proportional to 210,347,231.80, 314,923,650.90 and 210,347,231.80

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Solution

The fourth proportional to 210,347,231.80, 314,923,650.90 and 210,347,231.80 is: 314,923,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,347,231.80 : 314,923,650.90 = 210,347,231.80 : x
  2. Step 2: Convert to fraction form
    210,347,231.80/314,923,650.90 = 210,347,231.80/x
  3. Step 3: Cross multiply
    210,347,231.80x = 314,923,650.90 × 210,347,231.80
  4. Step 4: Simplify right side
    210,347,231.80x = 66,243,318,195,164,576
  5. Step 5: Solve for x
    x = 66,243,318,195,164,576/210,347,231.80
  6. Step 6: Final answer
    x = 314,923,650.90

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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.