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Finding the Fourth Proportional to 122,836,696,600.15, 184,255,044,900.24 and 122,836,696,600.15

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Solution

The fourth proportional to 122,836,696,600.15, 184,255,044,900.24 and 122,836,696,600.15 is: 184,255,044,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836,696,600.15 : 184,255,044,900.24 = 122,836,696,600.15 : x
  2. Step 2: Convert to fraction form
    122,836,696,600.15/184,255,044,900.24 = 122,836,696,600.15/x
  3. Step 3: Cross multiply
    122,836,696,600.15x = 184,255,044,900.24 × 122,836,696,600.15
  4. Step 4: Simplify right side
    122,836,696,600.15x = 22,633,281,047,457,792,262,144
  5. Step 5: Solve for x
    x = 22,633,281,047,457,792,262,144/122,836,696,600.15
  6. Step 6: Final answer
    x = 184,255,044,900.24

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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.