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Finding the Fourth Proportional to 167,816,448,047.20, 251,724,672,070.80 and 167,816,448,047.20

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Solution

The fourth proportional to 167,816,448,047.20, 251,724,672,070.80 and 167,816,448,047.20 is: 251,724,672,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,816,448,047.20 : 251,724,672,070.80 = 167,816,448,047.20 : x
  2. Step 2: Convert to fraction form
    167,816,448,047.20/251,724,672,070.80 = 167,816,448,047.20/x
  3. Step 3: Cross multiply
    167,816,448,047.20x = 251,724,672,070.80 × 167,816,448,047.20
  4. Step 4: Simplify right side
    167,816,448,047.20x = 42,243,540,352,767,862,243,328
  5. Step 5: Solve for x
    x = 42,243,540,352,767,862,243,328/167,816,448,047.20
  6. Step 6: Final answer
    x = 251,724,672,070.80

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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.