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Finding the Fourth Proportional to 82,907,821.60, 124,361,732.40 and 65,589,114.40

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Solution

The fourth proportional to 82,907,821.60, 124,361,732.40 and 65,589,114.40 is: 98,383,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,907,821.60 : 124,361,732.40 = 65,589,114.40 : x
  2. Step 2: Convert to fraction form
    82,907,821.60/124,361,732.40 = 65,589,114.40/x
  3. Step 3: Cross multiply
    82,907,821.60x = 124,361,732.40 × 65,589,114.40
  4. Step 4: Simplify right side
    82,907,821.60x = 8,156,775,893,365,787
  5. Step 5: Solve for x
    x = 8,156,775,893,365,787/82,907,821.60
  6. Step 6: Final answer
    x = 98,383,671.60

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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.