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Finding the Fourth Proportional to 13,643,601,600.60, 20,465,402,400.90 and 13,643,601,600.60

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Solution

The fourth proportional to 13,643,601,600.60, 20,465,402,400.90 and 13,643,601,600.60 is: 20,465,402,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643,601,600.60 : 20,465,402,400.90 = 13,643,601,600.60 : x
  2. Step 2: Convert to fraction form
    13,643,601,600.60/20,465,402,400.90 = 13,643,601,600.60/x
  3. Step 3: Cross multiply
    13,643,601,600.60x = 20,465,402,400.90 × 13,643,601,600.60
  4. Step 4: Simplify right side
    13,643,601,600.60x = 279,221,796,953,842,352,128
  5. Step 5: Solve for x
    x = 279,221,796,953,842,352,128/13,643,601,600.60
  6. Step 6: Final answer
    x = 20,465,402,400.90

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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.