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Finding the Fourth Proportional to 650,458,651,405.82, 897,654,466,055.72 and 357,493,958,508.72

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Solution

The fourth proportional to 650,458,651,405.82, 897,654,466,055.72 and 357,493,958,508.72 is: 493,353,494,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,458,651,405.82 : 897,654,466,055.72 = 357,493,958,508.72 : x
  2. Step 2: Convert to fraction form
    650,458,651,405.82/897,654,466,055.72 = 357,493,958,508.72/x
  3. Step 3: Cross multiply
    650,458,651,405.82x = 897,654,466,055.72 × 357,493,958,508.72
  4. Step 4: Simplify right side
    650,458,651,405.82x = 320,906,048,443,290,736,394,240
  5. Step 5: Solve for x
    x = 320,906,048,443,290,736,394,240/650,458,651,405.82
  6. Step 6: Final answer
    x = 493,353,494,107.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.