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Finding the Fourth Proportional to 890,389,138,504.75, 1,335,583,707,757 and 890,389,138,504.75

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Solution

The fourth proportional to 890,389,138,504.75, 1,335,583,707,757 and 890,389,138,504.75 is: 1,335,583,707,757

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,389,138,504.75 : 1,335,583,707,757 = 890,389,138,504.75 : x
  2. Step 2: Convert to fraction form
    890,389,138,504.75/1,335,583,707,757 = 890,389,138,504.75/x
  3. Step 3: Cross multiply
    890,389,138,504.75x = 1,335,583,707,757 × 890,389,138,504.75
  4. Step 4: Simplify right side
    890,389,138,504.75x = 1,189,189,226,950,735,014,395,904
  5. Step 5: Solve for x
    x = 1,189,189,226,950,735,014,395,904/890,389,138,504.75
  6. Step 6: Final answer
    x = 1,335,583,707,757

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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.