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Finding the Fourth Proportional to 643,659,352.60, 965,489,028.90 and 212,837,848.60

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Solution

The fourth proportional to 643,659,352.60, 965,489,028.90 and 212,837,848.60 is: 319,256,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,659,352.60 : 965,489,028.90 = 212,837,848.60 : x
  2. Step 2: Convert to fraction form
    643,659,352.60/965,489,028.90 = 212,837,848.60/x
  3. Step 3: Cross multiply
    643,659,352.60x = 965,489,028.90 × 212,837,848.60
  4. Step 4: Simplify right side
    643,659,352.60x = 205,492,607,757,979,200
  5. Step 5: Solve for x
    x = 205,492,607,757,979,200/643,659,352.60
  6. Step 6: Final answer
    x = 319,256,772.90

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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.