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Finding the Fourth Proportional to 347,680,512,000.16, 521,520,768,000.24 and 347,680,512,000.16

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Solution

The fourth proportional to 347,680,512,000.16, 521,520,768,000.24 and 347,680,512,000.16 is: 521,520,768,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,680,512,000.16 : 521,520,768,000.24 = 347,680,512,000.16 : x
  2. Step 2: Convert to fraction form
    347,680,512,000.16/521,520,768,000.24 = 347,680,512,000.16/x
  3. Step 3: Cross multiply
    347,680,512,000.16x = 521,520,768,000.24 × 347,680,512,000.16
  4. Step 4: Simplify right side
    347,680,512,000.16x = 181,322,607,637,040,092,676,096
  5. Step 5: Solve for x
    x = 181,322,607,637,040,092,676,096/347,680,512,000.16
  6. Step 6: Final answer
    x = 521,520,768,000.24

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1.5x scale

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.