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Finding the Fourth Proportional to 176,565,492,076.72, 264,848,238,115.08 and 176,565,492,076.72

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Solution

The fourth proportional to 176,565,492,076.72, 264,848,238,115.08 and 176,565,492,076.72 is: 264,848,238,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,565,492,076.72 : 264,848,238,115.08 = 176,565,492,076.72 : x
  2. Step 2: Convert to fraction form
    176,565,492,076.72/264,848,238,115.08 = 176,565,492,076.72/x
  3. Step 3: Cross multiply
    176,565,492,076.72x = 264,848,238,115.08 × 176,565,492,076.72
  4. Step 4: Simplify right side
    176,565,492,076.72x = 46,763,059,488,441,405,276,160
  5. Step 5: Solve for x
    x = 46,763,059,488,441,405,276,160/176,565,492,076.72
  6. Step 6: Final answer
    x = 264,848,238,115.08

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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.