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Finding the Fourth Proportional to 54,218,558,812.80, 81,327,838,219.20 and 54,218,558,812.80

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Solution

The fourth proportional to 54,218,558,812.80, 81,327,838,219.20 and 54,218,558,812.80 is: 81,327,838,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,218,558,812.80 : 81,327,838,219.20 = 54,218,558,812.80 : x
  2. Step 2: Convert to fraction form
    54,218,558,812.80/81,327,838,219.20 = 54,218,558,812.80/x
  3. Step 3: Cross multiply
    54,218,558,812.80x = 81,327,838,219.20 × 54,218,558,812.80
  4. Step 4: Simplify right side
    54,218,558,812.80x = 4,409,478,179,605,578,776,576
  5. Step 5: Solve for x
    x = 4,409,478,179,605,578,776,576/54,218,558,812.80
  6. Step 6: Final answer
    x = 81,327,838,219.20

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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.