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Finding the Fourth Proportional to 407,895,022.62, 612,023,391.54 and 213,760,281.42

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Solution

The fourth proportional to 407,895,022.62, 612,023,391.54 and 213,760,281.42 is: 320,735,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,895,022.62 : 612,023,391.54 = 213,760,281.42 : x
  2. Step 2: Convert to fraction form
    407,895,022.62/612,023,391.54 = 213,760,281.42/x
  3. Step 3: Cross multiply
    407,895,022.62x = 612,023,391.54 × 213,760,281.42
  4. Step 4: Simplify right side
    407,895,022.62x = 130,826,292,411,213,232
  5. Step 5: Solve for x
    x = 130,826,292,411,213,232/407,895,022.62
  6. Step 6: Final answer
    x = 320,735,201.84

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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.