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Finding the Fourth Proportional to 297,843,615.60, 446,765,423.40 and 82,432,863.60

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Solution

The fourth proportional to 297,843,615.60, 446,765,423.40 and 82,432,863.60 is: 123,649,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,843,615.60 : 446,765,423.40 = 82,432,863.60 : x
  2. Step 2: Convert to fraction form
    297,843,615.60/446,765,423.40 = 82,432,863.60/x
  3. Step 3: Cross multiply
    297,843,615.60x = 446,765,423.40 × 82,432,863.60
  4. Step 4: Simplify right side
    297,843,615.60x = 36,828,153,208,328,440
  5. Step 5: Solve for x
    x = 36,828,153,208,328,440/297,843,615.60
  6. Step 6: Final answer
    x = 123,649,295.40

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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.