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Finding the Fourth Proportional to 97,785,535,982.80, 146,678,303,974.20 and 97,785,535,982.80

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Solution

The fourth proportional to 97,785,535,982.80, 146,678,303,974.20 and 97,785,535,982.80 is: 146,678,303,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785,535,982.80 : 146,678,303,974.20 = 97,785,535,982.80 : x
  2. Step 2: Convert to fraction form
    97,785,535,982.80/146,678,303,974.20 = 97,785,535,982.80/x
  3. Step 3: Cross multiply
    97,785,535,982.80x = 146,678,303,974.20 × 97,785,535,982.80
  4. Step 4: Simplify right side
    97,785,535,982.80x = 14,343,016,571,165,212,672,000
  5. Step 5: Solve for x
    x = 14,343,016,571,165,212,672,000/97,785,535,982.80
  6. Step 6: Final answer
    x = 146,678,303,974.20

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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.