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Finding the Fourth Proportional to 187,816,462,071.60, 281,724,693,107.40 and 187,816,462,071.60

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Solution

The fourth proportional to 187,816,462,071.60, 281,724,693,107.40 and 187,816,462,071.60 is: 281,724,693,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,816,462,071.60 : 281,724,693,107.40 = 187,816,462,071.60 : x
  2. Step 2: Convert to fraction form
    187,816,462,071.60/281,724,693,107.40 = 187,816,462,071.60/x
  3. Step 3: Cross multiply
    187,816,462,071.60x = 281,724,693,107.40 × 187,816,462,071.60
  4. Step 4: Simplify right side
    187,816,462,071.60x = 52,912,535,137,639,146,192,896
  5. Step 5: Solve for x
    x = 52,912,535,137,639,146,192,896/187,816,462,071.60
  6. Step 6: Final answer
    x = 281,724,693,107.40

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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.