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Finding the Fourth Proportional to 176,565,492,078.22, 264,848,238,117.33 and 176,565,492,078.22

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Solution

The fourth proportional to 176,565,492,078.22, 264,848,238,117.33 and 176,565,492,078.22 is: 264,848,238,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,565,492,078.22 : 264,848,238,117.33 = 176,565,492,078.22 : x
  2. Step 2: Convert to fraction form
    176,565,492,078.22/264,848,238,117.33 = 176,565,492,078.22/x
  3. Step 3: Cross multiply
    176,565,492,078.22x = 264,848,238,117.33 × 176,565,492,078.22
  4. Step 4: Simplify right side
    176,565,492,078.22x = 46,763,059,489,235,949,060,096
  5. Step 5: Solve for x
    x = 46,763,059,489,235,949,060,096/176,565,492,078.22
  6. Step 6: Final answer
    x = 264,848,238,117.33

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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.