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Finding the Fourth Proportional to 407,266,416.80, 610,899,625.20 and 148,490,079.20

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Solution

The fourth proportional to 407,266,416.80, 610,899,625.20 and 148,490,079.20 is: 222,735,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,266,416.80 : 610,899,625.20 = 148,490,079.20 : x
  2. Step 2: Convert to fraction form
    407,266,416.80/610,899,625.20 = 148,490,079.20/x
  3. Step 3: Cross multiply
    407,266,416.80x = 610,899,625.20 × 148,490,079.20
  4. Step 4: Simplify right side
    407,266,416.80x = 90,712,533,729,198,320
  5. Step 5: Solve for x
    x = 90,712,533,729,198,320/407,266,416.80
  6. Step 6: Final answer
    x = 222,735,118.80

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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.