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Finding the Fourth Proportional to 86,920,231,825.60, 130,380,347,738.40 and 86,920,231,825.60

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Solution

The fourth proportional to 86,920,231,825.60, 130,380,347,738.40 and 86,920,231,825.60 is: 130,380,347,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920,231,825.60 : 130,380,347,738.40 = 86,920,231,825.60 : x
  2. Step 2: Convert to fraction form
    86,920,231,825.60/130,380,347,738.40 = 86,920,231,825.60/x
  3. Step 3: Cross multiply
    86,920,231,825.60x = 130,380,347,738.40 × 86,920,231,825.60
  4. Step 4: Simplify right side
    86,920,231,825.60x = 11,332,690,050,924,071,092,224
  5. Step 5: Solve for x
    x = 11,332,690,050,924,071,092,224/86,920,231,825.60
  6. Step 6: Final answer
    x = 130,380,347,738.40

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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.