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Finding the Fourth Proportional to 7,338,586,723.80, 10,303,045,177.80 and 7,338,586,723.80

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Solution

The fourth proportional to 7,338,586,723.80, 10,303,045,177.80 and 7,338,586,723.80 is: 10,303,045,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338,586,723.80 : 10,303,045,177.80 = 7,338,586,723.80 : x
  2. Step 2: Convert to fraction form
    7,338,586,723.80/10,303,045,177.80 = 7,338,586,723.80/x
  3. Step 3: Cross multiply
    7,338,586,723.80x = 10,303,045,177.80 × 7,338,586,723.80
  4. Step 4: Simplify right side
    7,338,586,723.80x = 75,609,790,556,514,680,832
  5. Step 5: Solve for x
    x = 75,609,790,556,514,680,832/7,338,586,723.80
  6. Step 6: Final answer
    x = 10,303,045,177.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.