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Finding the Fourth Proportional to 53,806,144,163.60, 80,709,216,245.40 and 53,806,144,163.60

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Solution

The fourth proportional to 53,806,144,163.60, 80,709,216,245.40 and 53,806,144,163.60 is: 80,709,216,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,806,144,163.60 : 80,709,216,245.40 = 53,806,144,163.60 : x
  2. Step 2: Convert to fraction form
    53,806,144,163.60/80,709,216,245.40 = 53,806,144,163.60/x
  3. Step 3: Cross multiply
    53,806,144,163.60x = 80,709,216,245.40 × 53,806,144,163.60
  4. Step 4: Simplify right side
    53,806,144,163.60x = 4,342,651,724,631,158,816,768
  5. Step 5: Solve for x
    x = 4,342,651,724,631,158,816,768/53,806,144,163.60
  6. Step 6: Final answer
    x = 80,709,216,245.40

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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.