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Finding the Fourth Proportional to 188,079,642,004.80, 264,055,346,145.60 and 188,079,642,004.80

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Solution

The fourth proportional to 188,079,642,004.80, 264,055,346,145.60 and 188,079,642,004.80 is: 264,055,346,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,079,642,004.80 : 264,055,346,145.60 = 188,079,642,004.80 : x
  2. Step 2: Convert to fraction form
    188,079,642,004.80/264,055,346,145.60 = 188,079,642,004.80/x
  3. Step 3: Cross multiply
    188,079,642,004.80x = 264,055,346,145.60 × 188,079,642,004.80
  4. Step 4: Simplify right side
    188,079,642,004.80x = 49,663,434,972,517,990,662,144
  5. Step 5: Solve for x
    x = 49,663,434,972,517,990,662,144/188,079,642,004.80
  6. Step 6: Final answer
    x = 264,055,346,145.60

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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.