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Finding the Fourth Proportional to 265,220,907.80, 397,831,361.70 and 83,468,085.80

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Solution

The fourth proportional to 265,220,907.80, 397,831,361.70 and 83,468,085.80 is: 125,202,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,220,907.80 : 397,831,361.70 = 83,468,085.80 : x
  2. Step 2: Convert to fraction form
    265,220,907.80/397,831,361.70 = 83,468,085.80/x
  3. Step 3: Cross multiply
    265,220,907.80x = 397,831,361.70 × 83,468,085.80
  4. Step 4: Simplify right side
    265,220,907.80x = 33,206,222,232,306,432
  5. Step 5: Solve for x
    x = 33,206,222,232,306,432/265,220,907.80
  6. Step 6: Final answer
    x = 125,202,128.70

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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.