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Finding the Fourth Proportional to 188,504,091,301.70, 282,756,136,952.55 and 188,504,091,301.70

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Solution

The fourth proportional to 188,504,091,301.70, 282,756,136,952.55 and 188,504,091,301.70 is: 282,756,136,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,504,091,301.70 : 282,756,136,952.55 = 188,504,091,301.70 : x
  2. Step 2: Convert to fraction form
    188,504,091,301.70/282,756,136,952.55 = 188,504,091,301.70/x
  3. Step 3: Cross multiply
    188,504,091,301.70x = 282,756,136,952.55 × 188,504,091,301.70
  4. Step 4: Simplify right side
    188,504,091,301.70x = 53,300,688,656,219,475,279,872
  5. Step 5: Solve for x
    x = 53,300,688,656,219,475,279,872/188,504,091,301.70
  6. Step 6: Final answer
    x = 282,756,136,952.55

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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.