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Finding the Fourth Proportional to 188,242,750, 259,734,698.58 and 109,890,742.60

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Solution

The fourth proportional to 188,242,750, 259,734,698.58 and 109,890,742.60 is: 151,625,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,242,750 : 259,734,698.58 = 109,890,742.60 : x
  2. Step 2: Convert to fraction form
    188,242,750/259,734,698.58 = 109,890,742.60/x
  3. Step 3: Cross multiply
    188,242,750x = 259,734,698.58 × 109,890,742.60
  4. Step 4: Simplify right side
    188,242,750x = 28,542,438,905,943,364
  5. Step 5: Solve for x
    x = 28,542,438,905,943,364/188,242,750
  6. Step 6: Final answer
    x = 151,625,700.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.