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Finding the Fourth Proportional to 347,680,512,007.90, 521,520,768,011.86 and 347,680,512,007.90

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Solution

The fourth proportional to 347,680,512,007.90, 521,520,768,011.86 and 347,680,512,007.90 is: 521,520,768,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,680,512,007.90 : 521,520,768,011.86 = 347,680,512,007.90 : x
  2. Step 2: Convert to fraction form
    347,680,512,007.90/521,520,768,011.86 = 347,680,512,007.90/x
  3. Step 3: Cross multiply
    347,680,512,007.90x = 521,520,768,011.86 × 347,680,512,007.90
  4. Step 4: Simplify right side
    347,680,512,007.90x = 181,322,607,645,116,745,121,792
  5. Step 5: Solve for x
    x = 181,322,607,645,116,745,121,792/347,680,512,007.90
  6. Step 6: Final answer
    x = 521,520,768,011.86

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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.