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Finding the Fourth Proportional to 122,836,698,834.90, 184,255,048,252.35 and 122,836,698,834.90

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Solution

The fourth proportional to 122,836,698,834.90, 184,255,048,252.35 and 122,836,698,834.90 is: 184,255,048,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836,698,834.90 : 184,255,048,252.35 = 122,836,698,834.90 : x
  2. Step 2: Convert to fraction form
    122,836,698,834.90/184,255,048,252.35 = 122,836,698,834.90/x
  3. Step 3: Cross multiply
    122,836,698,834.90x = 184,255,048,252.35 × 122,836,698,834.90
  4. Step 4: Simplify right side
    122,836,698,834.90x = 22,633,281,870,983,885,488,128
  5. Step 5: Solve for x
    x = 22,633,281,870,983,885,488,128/122,836,698,834.90
  6. Step 6: Final answer
    x = 184,255,048,252.35

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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.