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Finding the Fourth Proportional to 734,081,534,401.06, 1,101,122,301,601.60 and 734,081,534,401.06

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Solution

The fourth proportional to 734,081,534,401.06, 1,101,122,301,601.60 and 734,081,534,401.06 is: 1,101,122,301,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,081,534,401.06 : 1,101,122,301,601.60 = 734,081,534,401.06 : x
  2. Step 2: Convert to fraction form
    734,081,534,401.06/1,101,122,301,601.60 = 734,081,534,401.06/x
  3. Step 3: Cross multiply
    734,081,534,401.06x = 1,101,122,301,601.60 × 734,081,534,401.06
  4. Step 4: Simplify right side
    734,081,534,401.06x = 808,313,548,722,929,378,787,328
  5. Step 5: Solve for x
    x = 808,313,548,722,929,378,787,328/734,081,534,401.06
  6. Step 6: Final answer
    x = 1,101,122,301,601.60

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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.