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Finding the Fourth Proportional to 53,632,352,015.40, 80,448,528,023.12 and 53,632,352,015.40

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Solution

The fourth proportional to 53,632,352,015.40, 80,448,528,023.12 and 53,632,352,015.40 is: 80,448,528,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,632,352,015.40 : 80,448,528,023.12 = 53,632,352,015.40 : x
  2. Step 2: Convert to fraction form
    53,632,352,015.40/80,448,528,023.12 = 53,632,352,015.40/x
  3. Step 3: Cross multiply
    53,632,352,015.40x = 80,448,528,023.12 × 53,632,352,015.40
  4. Step 4: Simplify right side
    53,632,352,015.40x = 4,314,643,774,056,743,043,072
  5. Step 5: Solve for x
    x = 4,314,643,774,056,743,043,072/53,632,352,015.40
  6. Step 6: Final answer
    x = 80,448,528,023.12

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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.