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Finding the Fourth Proportional to 309,872,854.80, 427,610,745.54 and 177,619,037.76

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Solution

The fourth proportional to 309,872,854.80, 427,610,745.54 and 177,619,037.76 is: 245,106,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,872,854.80 : 427,610,745.54 = 177,619,037.76 : x
  2. Step 2: Convert to fraction form
    309,872,854.80/427,610,745.54 = 177,619,037.76/x
  3. Step 3: Cross multiply
    309,872,854.80x = 427,610,745.54 × 177,619,037.76
  4. Step 4: Simplify right side
    309,872,854.80x = 75,951,809,158,651,008
  5. Step 5: Solve for x
    x = 75,951,809,158,651,008/309,872,854.80
  6. Step 6: Final answer
    x = 245,106,365.34

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