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Finding the Fourth Proportional to 468,093,994.74, 645,968,100.35 and 269,854,544.31

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Solution

The fourth proportional to 468,093,994.74, 645,968,100.35 and 269,854,544.31 is: 372,398,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,093,994.74 : 645,968,100.35 = 269,854,544.31 : x
  2. Step 2: Convert to fraction form
    468,093,994.74/645,968,100.35 = 269,854,544.31/x
  3. Step 3: Cross multiply
    468,093,994.74x = 645,968,100.35 × 269,854,544.31
  4. Step 4: Simplify right side
    468,093,994.74x = 174,317,427,357,396,352
  5. Step 5: Solve for x
    x = 174,317,427,357,396,352/468,093,994.74
  6. Step 6: Final answer
    x = 372,398,341.61

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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.