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Finding the Fourth Proportional to 201,653,782.70, 302,517,998.85 and 65,343,613.10

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Solution

The fourth proportional to 201,653,782.70, 302,517,998.85 and 65,343,613.10 is: 98,027,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,653,782.70 : 302,517,998.85 = 65,343,613.10 : x
  2. Step 2: Convert to fraction form
    201,653,782.70/302,517,998.85 = 65,343,613.10/x
  3. Step 3: Cross multiply
    201,653,782.70x = 302,517,998.85 × 65,343,613.10
  4. Step 4: Simplify right side
    201,653,782.70x = 19,767,619,072,640,648
  5. Step 5: Solve for x
    x = 19,767,619,072,640,648/201,653,782.70
  6. Step 6: Final answer
    x = 98,027,514.33

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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.