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Finding the Fourth Proportional to 265,616,403.80, 398,424,605.70 and 136,476,240.80

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Solution

The fourth proportional to 265,616,403.80, 398,424,605.70 and 136,476,240.80 is: 204,714,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,616,403.80 : 398,424,605.70 = 136,476,240.80 : x
  2. Step 2: Convert to fraction form
    265,616,403.80/398,424,605.70 = 136,476,240.80/x
  3. Step 3: Cross multiply
    265,616,403.80x = 398,424,605.70 × 136,476,240.80
  4. Step 4: Simplify right side
    265,616,403.80x = 54,375,492,428,158,256
  5. Step 5: Solve for x
    x = 54,375,492,428,158,256/265,616,403.80
  6. Step 6: Final answer
    x = 204,714,361.20

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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.