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Finding the Fourth Proportional to 133,510,366.20, 200,300,978.70 and 47,239,777.20

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Solution

The fourth proportional to 133,510,366.20, 200,300,978.70 and 47,239,777.20 is: 70,872,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,510,366.20 : 200,300,978.70 = 47,239,777.20 : x
  2. Step 2: Convert to fraction form
    133,510,366.20/200,300,978.70 = 47,239,777.20/x
  3. Step 3: Cross multiply
    133,510,366.20x = 200,300,978.70 × 47,239,777.20
  4. Step 4: Simplify right side
    133,510,366.20x = 9,462,173,606,729,946
  5. Step 5: Solve for x
    x = 9,462,173,606,729,946/133,510,366.20
  6. Step 6: Final answer
    x = 70,872,201.73

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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.