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Finding the Fourth Proportional to 176,565,492,069.85, 264,848,238,104.78 and 176,565,492,069.85

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Solution

The fourth proportional to 176,565,492,069.85, 264,848,238,104.78 and 176,565,492,069.85 is: 264,848,238,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,565,492,069.85 : 264,848,238,104.78 = 176,565,492,069.85 : x
  2. Step 2: Convert to fraction form
    176,565,492,069.85/264,848,238,104.78 = 176,565,492,069.85/x
  3. Step 3: Cross multiply
    176,565,492,069.85x = 264,848,238,104.78 × 176,565,492,069.85
  4. Step 4: Simplify right side
    176,565,492,069.85x = 46,763,059,484,803,282,763,776
  5. Step 5: Solve for x
    x = 46,763,059,484,803,282,763,776/176,565,492,069.85
  6. Step 6: Final answer
    x = 264,848,238,104.78

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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.