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Finding the Fourth Proportional to 404,584,409.50, 606,630,863.68 and 158,646,407.06

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Solution

The fourth proportional to 404,584,409.50, 606,630,863.68 and 158,646,407.06 is: 237,873,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,584,409.50 : 606,630,863.68 = 158,646,407.06 : x
  2. Step 2: Convert to fraction form
    404,584,409.50/606,630,863.68 = 158,646,407.06/x
  3. Step 3: Cross multiply
    404,584,409.50x = 606,630,863.68 × 158,646,407.06
  4. Step 4: Simplify right side
    404,584,409.50x = 96,239,806,934,536,640
  5. Step 5: Solve for x
    x = 96,239,806,934,536,640/404,584,409.50
  6. Step 6: Final answer
    x = 237,873,246.41

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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.