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Finding the Fourth Proportional to 122,836,696,597.65, 184,255,044,896.49 and 122,836,696,597.65

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Solution

The fourth proportional to 122,836,696,597.65, 184,255,044,896.49 and 122,836,696,597.65 is: 184,255,044,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836,696,597.65 : 184,255,044,896.49 = 122,836,696,597.65 : x
  2. Step 2: Convert to fraction form
    122,836,696,597.65/184,255,044,896.49 = 122,836,696,597.65/x
  3. Step 3: Cross multiply
    122,836,696,597.65x = 184,255,044,896.49 × 122,836,696,597.65
  4. Step 4: Simplify right side
    122,836,696,597.65x = 22,633,281,046,536,517,582,848
  5. Step 5: Solve for x
    x = 22,633,281,046,536,517,582,848/122,836,696,597.65
  6. Step 6: Final answer
    x = 184,255,044,896.49

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Double scale
Find fourth proportional to 122,836,696,598.65, 184,255,044,897.99 and 122,836,696,598.65
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.