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Finding the Fourth Proportional to 122,836,698,826.65, 184,255,048,239.97 and 122,836,698,826.65

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Solution

The fourth proportional to 122,836,698,826.65, 184,255,048,239.97 and 122,836,698,826.65 is: 184,255,048,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836,698,826.65 : 184,255,048,239.97 = 122,836,698,826.65 : x
  2. Step 2: Convert to fraction form
    122,836,698,826.65/184,255,048,239.97 = 122,836,698,826.65/x
  3. Step 3: Cross multiply
    122,836,698,826.65x = 184,255,048,239.97 × 122,836,698,826.65
  4. Step 4: Simplify right side
    122,836,698,826.65x = 22,633,281,867,943,061,225,472
  5. Step 5: Solve for x
    x = 22,633,281,867,943,061,225,472/122,836,698,826.65
  6. Step 6: Final answer
    x = 184,255,048,239.97

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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.