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Finding the Fourth Proportional to 1,294,430,621.22, 1,941,433,355.34 and 557,302,074.30

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Solution

The fourth proportional to 1,294,430,621.22, 1,941,433,355.34 and 557,302,074.30 is: 835,861,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,430,621.22 : 1,941,433,355.34 = 557,302,074.30 : x
  2. Step 2: Convert to fraction form
    1,294,430,621.22/1,941,433,355.34 = 557,302,074.30/x
  3. Step 3: Cross multiply
    1,294,430,621.22x = 1,941,433,355.34 × 557,302,074.30
  4. Step 4: Simplify right side
    1,294,430,621.22x = 1,081,964,836,046,190,848
  5. Step 5: Solve for x
    x = 1,081,964,836,046,190,848/1,294,430,621.22
  6. Step 6: Final answer
    x = 835,861,589.11

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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.