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Finding the Fourth Proportional to 258,657,777.60, 388,135,965.60 and 97,116,043.20

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Solution

The fourth proportional to 258,657,777.60, 388,135,965.60 and 97,116,043.20 is: 145,730,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,657,777.60 : 388,135,965.60 = 97,116,043.20 : x
  2. Step 2: Convert to fraction form
    258,657,777.60/388,135,965.60 = 97,116,043.20/x
  3. Step 3: Cross multiply
    258,657,777.60x = 388,135,965.60 × 97,116,043.20
  4. Step 4: Simplify right side
    258,657,777.60x = 37,694,229,202,683,320
  5. Step 5: Solve for x
    x = 37,694,229,202,683,320/258,657,777.60
  6. Step 6: Final answer
    x = 145,730,120.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.