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Finding the Fourth Proportional to 13,804,812,400.35, 20,707,218,600.53 and 13,804,812,400.35

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Solution

The fourth proportional to 13,804,812,400.35, 20,707,218,600.53 and 13,804,812,400.35 is: 20,707,218,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804,812,400.35 : 20,707,218,600.53 = 13,804,812,400.35 : x
  2. Step 2: Convert to fraction form
    13,804,812,400.35/20,707,218,600.53 = 13,804,812,400.35/x
  3. Step 3: Cross multiply
    13,804,812,400.35x = 20,707,218,600.53 × 13,804,812,400.35
  4. Step 4: Simplify right side
    13,804,812,400.35x = 285,859,268,113,285,709,824
  5. Step 5: Solve for x
    x = 285,859,268,113,285,709,824/13,804,812,400.35
  6. Step 6: Final answer
    x = 20,707,218,600.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.