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Finding the Fourth Proportional to 122,836,696,315.65, 184,255,044,473.47 and 122,836,696,315.65

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Solution

The fourth proportional to 122,836,696,315.65, 184,255,044,473.47 and 122,836,696,315.65 is: 184,255,044,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836,696,315.65 : 184,255,044,473.47 = 122,836,696,315.65 : x
  2. Step 2: Convert to fraction form
    122,836,696,315.65/184,255,044,473.47 = 122,836,696,315.65/x
  3. Step 3: Cross multiply
    122,836,696,315.65x = 184,255,044,473.47 × 122,836,696,315.65
  4. Step 4: Simplify right side
    122,836,696,315.65x = 22,633,280,942,614,218,014,720
  5. Step 5: Solve for x
    x = 22,633,280,942,614,218,014,720/122,836,696,315.65
  6. Step 6: Final answer
    x = 184,255,044,473.47

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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.