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Finding the Fourth Proportional to 490,561,506.40, 735,842,259.60 and 381,722,389.60

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Solution

The fourth proportional to 490,561,506.40, 735,842,259.60 and 381,722,389.60 is: 572,583,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,561,506.40 : 735,842,259.60 = 381,722,389.60 : x
  2. Step 2: Convert to fraction form
    490,561,506.40/735,842,259.60 = 381,722,389.60/x
  3. Step 3: Cross multiply
    490,561,506.40x = 735,842,259.60 × 381,722,389.60
  4. Step 4: Simplify right side
    490,561,506.40x = 280,887,465,703,175,552
  5. Step 5: Solve for x
    x = 280,887,465,703,175,552/490,561,506.40
  6. Step 6: Final answer
    x = 572,583,584.40

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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.