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Finding the Fourth Proportional to 54,486,048,607.60, 81,729,072,911.40 and 54,486,048,607.60

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Solution

The fourth proportional to 54,486,048,607.60, 81,729,072,911.40 and 54,486,048,607.60 is: 81,729,072,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,486,048,607.60 : 81,729,072,911.40 = 54,486,048,607.60 : x
  2. Step 2: Convert to fraction form
    54,486,048,607.60/81,729,072,911.40 = 54,486,048,607.60/x
  3. Step 3: Cross multiply
    54,486,048,607.60x = 81,729,072,911.40 × 54,486,048,607.60
  4. Step 4: Simplify right side
    54,486,048,607.60x = 4,453,094,239,304,624,373,760
  5. Step 5: Solve for x
    x = 4,453,094,239,304,624,373,760/54,486,048,607.60
  6. Step 6: Final answer
    x = 81,729,072,911.40

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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.