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Finding the Fourth Proportional to 407,266,447.80, 610,899,671.70 and 148,490,110.20

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Solution

The fourth proportional to 407,266,447.80, 610,899,671.70 and 148,490,110.20 is: 222,735,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,266,447.80 : 610,899,671.70 = 148,490,110.20 : x
  2. Step 2: Convert to fraction form
    407,266,447.80/610,899,671.70 = 148,490,110.20/x
  3. Step 3: Cross multiply
    407,266,447.80x = 610,899,671.70 × 148,490,110.20
  4. Step 4: Simplify right side
    407,266,447.80x = 90,712,559,571,876,816
  5. Step 5: Solve for x
    x = 90,712,559,571,876,816/407,266,447.80
  6. Step 6: Final answer
    x = 222,735,165.30

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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.