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Finding the Fourth Proportional to 176,565,492,069.72, 264,848,238,104.58 and 176,565,492,069.72

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Solution

The fourth proportional to 176,565,492,069.72, 264,848,238,104.58 and 176,565,492,069.72 is: 264,848,238,104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,565,492,069.72 : 264,848,238,104.58 = 176,565,492,069.72 : x
  2. Step 2: Convert to fraction form
    176,565,492,069.72/264,848,238,104.58 = 176,565,492,069.72/x
  3. Step 3: Cross multiply
    176,565,492,069.72x = 264,848,238,104.58 × 176,565,492,069.72
  4. Step 4: Simplify right side
    176,565,492,069.72x = 46,763,059,484,733,531,488,256
  5. Step 5: Solve for x
    x = 46,763,059,484,733,531,488,256/176,565,492,069.72
  6. Step 6: Final answer
    x = 264,848,238,104.58

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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.