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Finding the Fourth Proportional to 45,714,997,738.80, 68,572,496,608.20 and 45,714,997,738.80

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Solution

The fourth proportional to 45,714,997,738.80, 68,572,496,608.20 and 45,714,997,738.80 is: 68,572,496,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,714,997,738.80 : 68,572,496,608.20 = 45,714,997,738.80 : x
  2. Step 2: Convert to fraction form
    45,714,997,738.80/68,572,496,608.20 = 45,714,997,738.80/x
  3. Step 3: Cross multiply
    45,714,997,738.80x = 68,572,496,608.20 × 45,714,997,738.80
  4. Step 4: Simplify right side
    45,714,997,738.80x = 3,134,791,527,387,733,950,464
  5. Step 5: Solve for x
    x = 3,134,791,527,387,733,950,464/45,714,997,738.80
  6. Step 6: Final answer
    x = 68,572,496,608.20

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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.