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Finding the Fourth Proportional to 122,836,696,585.65, 184,255,044,878.49 and 122,836,696,585.65

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Solution

The fourth proportional to 122,836,696,585.65, 184,255,044,878.49 and 122,836,696,585.65 is: 184,255,044,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836,696,585.65 : 184,255,044,878.49 = 122,836,696,585.65 : x
  2. Step 2: Convert to fraction form
    122,836,696,585.65/184,255,044,878.49 = 122,836,696,585.65/x
  3. Step 3: Cross multiply
    122,836,696,585.65x = 184,255,044,878.49 × 122,836,696,585.65
  4. Step 4: Simplify right side
    122,836,696,585.65x = 22,633,281,042,114,395,766,784
  5. Step 5: Solve for x
    x = 22,633,281,042,114,395,766,784/122,836,696,585.65
  6. Step 6: Final answer
    x = 184,255,044,878.49

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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.