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Finding the Fourth Proportional to 297,843,627.60, 446,765,441.40 and 82,432,875.60

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Solution

The fourth proportional to 297,843,627.60, 446,765,441.40 and 82,432,875.60 is: 123,649,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,843,627.60 : 446,765,441.40 = 82,432,875.60 : x
  2. Step 2: Convert to fraction form
    297,843,627.60/446,765,441.40 = 82,432,875.60/x
  3. Step 3: Cross multiply
    297,843,627.60x = 446,765,441.40 × 82,432,875.60
  4. Step 4: Simplify right side
    297,843,627.60x = 36,828,160,053,305,288
  5. Step 5: Solve for x
    x = 36,828,160,053,305,288/297,843,627.60
  6. Step 6: Final answer
    x = 123,649,313.40

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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.