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Finding the Fourth Proportional to 212,542,232.40, 318,813,348.60 and 212,542,232.40

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Solution

The fourth proportional to 212,542,232.40, 318,813,348.60 and 212,542,232.40 is: 318,813,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,542,232.40 : 318,813,348.60 = 212,542,232.40 : x
  2. Step 2: Convert to fraction form
    212,542,232.40/318,813,348.60 = 212,542,232.40/x
  3. Step 3: Cross multiply
    212,542,232.40x = 318,813,348.60 × 212,542,232.40
  4. Step 4: Simplify right side
    212,542,232.40x = 67,761,300,830,363,424
  5. Step 5: Solve for x
    x = 67,761,300,830,363,424/212,542,232.40
  6. Step 6: Final answer
    x = 318,813,348.60

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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.