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Finding the Fourth Proportional to 307,595,471.80, 461,019,959.70 and 177,953,999.80

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Solution

The fourth proportional to 307,595,471.80, 461,019,959.70 and 177,953,999.80 is: 266,715,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,595,471.80 : 461,019,959.70 = 177,953,999.80 : x
  2. Step 2: Convert to fraction form
    307,595,471.80/461,019,959.70 = 177,953,999.80/x
  3. Step 3: Cross multiply
    307,595,471.80x = 461,019,959.70 × 177,953,999.80
  4. Step 4: Simplify right side
    307,595,471.80x = 82,040,345,816,249,808
  5. Step 5: Solve for x
    x = 82,040,345,816,249,808/307,595,471.80
  6. Step 6: Final answer
    x = 266,715,063.57

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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.