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Finding the Fourth Proportional to 81,892,071,331.60, 122,654,440,987.80 and 81,892,071,331.60

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Solution

The fourth proportional to 81,892,071,331.60, 122,654,440,987.80 and 81,892,071,331.60 is: 122,654,440,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,892,071,331.60 : 122,654,440,987.80 = 81,892,071,331.60 : x
  2. Step 2: Convert to fraction form
    81,892,071,331.60/122,654,440,987.80 = 81,892,071,331.60/x
  3. Step 3: Cross multiply
    81,892,071,331.60x = 122,654,440,987.80 × 81,892,071,331.60
  4. Step 4: Simplify right side
    81,892,071,331.60x = 10,044,426,230,510,441,725,952
  5. Step 5: Solve for x
    x = 10,044,426,230,510,441,725,952/81,892,071,331.60
  6. Step 6: Final answer
    x = 122,654,440,987.80

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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.