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Finding the Fourth Proportional to 50,937,222,806.40, 76,405,834,209.60 and 50,937,222,806.40

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Solution

The fourth proportional to 50,937,222,806.40, 76,405,834,209.60 and 50,937,222,806.40 is: 76,405,834,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,937,222,806.40 : 76,405,834,209.60 = 50,937,222,806.40 : x
  2. Step 2: Convert to fraction form
    50,937,222,806.40/76,405,834,209.60 = 50,937,222,806.40/x
  3. Step 3: Cross multiply
    50,937,222,806.40x = 76,405,834,209.60 × 50,937,222,806.40
  4. Step 4: Simplify right side
    50,937,222,806.40x = 3,891,901,000,843,255,087,104
  5. Step 5: Solve for x
    x = 3,891,901,000,843,255,087,104/50,937,222,806.40
  6. Step 6: Final answer
    x = 76,405,834,209.60

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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.