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Finding the Fourth Proportional to 96,500,978.80, 144,751,468.20 and 51,151,346.80

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Solution

The fourth proportional to 96,500,978.80, 144,751,468.20 and 51,151,346.80 is: 76,727,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,500,978.80 : 144,751,468.20 = 51,151,346.80 : x
  2. Step 2: Convert to fraction form
    96,500,978.80/144,751,468.20 = 51,151,346.80/x
  3. Step 3: Cross multiply
    96,500,978.80x = 144,751,468.20 × 51,151,346.80
  4. Step 4: Simplify right side
    96,500,978.80x = 7,404,232,549,707,371
  5. Step 5: Solve for x
    x = 7,404,232,549,707,371/96,500,978.80
  6. Step 6: Final answer
    x = 76,727,020.20

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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.