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Finding the Fourth Proportional to 166,212,020.20, 233,079,465.80 and 166,212,020.20

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Solution

The fourth proportional to 166,212,020.20, 233,079,465.80 and 166,212,020.20 is: 233,079,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,212,020.20 : 233,079,465.80 = 166,212,020.20 : x
  2. Step 2: Convert to fraction form
    166,212,020.20/233,079,465.80 = 166,212,020.20/x
  3. Step 3: Cross multiply
    166,212,020.20x = 233,079,465.80 × 166,212,020.20
  4. Step 4: Simplify right side
    166,212,020.20x = 38,740,608,877,754,808
  5. Step 5: Solve for x
    x = 38,740,608,877,754,808/166,212,020.20
  6. Step 6: Final answer
    x = 233,079,465.80

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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.