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Finding the Fourth Proportional to 34,338,844,186.65, 51,508,266,279.98 and 34,338,844,186.65

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Solution

The fourth proportional to 34,338,844,186.65, 51,508,266,279.98 and 34,338,844,186.65 is: 51,508,266,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338,844,186.65 : 51,508,266,279.98 = 34,338,844,186.65 : x
  2. Step 2: Convert to fraction form
    34,338,844,186.65/51,508,266,279.98 = 34,338,844,186.65/x
  3. Step 3: Cross multiply
    34,338,844,186.65x = 51,508,266,279.98 × 34,338,844,186.65
  4. Step 4: Simplify right side
    34,338,844,186.65x = 1,768,734,330,112,539,885,568
  5. Step 5: Solve for x
    x = 1,768,734,330,112,539,885,568/34,338,844,186.65
  6. Step 6: Final answer
    x = 51,508,266,279.98

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Double scale
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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.