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Finding the Fourth Proportional to 633,385,194,537.60, 950,077,791,806.40 and 633,385,194,537.60

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Solution

The fourth proportional to 633,385,194,537.60, 950,077,791,806.40 and 633,385,194,537.60 is: 950,077,791,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,385,194,537.60 : 950,077,791,806.40 = 633,385,194,537.60 : x
  2. Step 2: Convert to fraction form
    633,385,194,537.60/950,077,791,806.40 = 633,385,194,537.60/x
  3. Step 3: Cross multiply
    633,385,194,537.60x = 950,077,791,806.40 × 633,385,194,537.60
  4. Step 4: Simplify right side
    633,385,194,537.60x = 601,765,206,989,150,107,992,064
  5. Step 5: Solve for x
    x = 601,765,206,989,150,107,992,064/633,385,194,537.60
  6. Step 6: Final answer
    x = 950,077,791,806.40

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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.