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Finding the Fourth Proportional to 347,680,515,064.90, 521,520,772,597.34 and 347,680,515,064.90

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Solution

The fourth proportional to 347,680,515,064.90, 521,520,772,597.34 and 347,680,515,064.90 is: 521,520,772,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,680,515,064.90 : 521,520,772,597.34 = 347,680,515,064.90 : x
  2. Step 2: Convert to fraction form
    347,680,515,064.90/521,520,772,597.34 = 347,680,515,064.90/x
  3. Step 3: Cross multiply
    347,680,515,064.90x = 521,520,772,597.34 × 347,680,515,064.90
  4. Step 4: Simplify right side
    347,680,515,064.90x = 181,322,610,833,687,782,096,896
  5. Step 5: Solve for x
    x = 181,322,610,833,687,782,096,896/347,680,515,064.90
  6. Step 6: Final answer
    x = 521,520,772,597.34

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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.