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Finding the Fourth Proportional to 266,960,266, 368,405,167.08 and 144,866,698

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Solution

The fourth proportional to 266,960,266, 368,405,167.08 and 144,866,698 is: 199,916,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,960,266 : 368,405,167.08 = 144,866,698 : x
  2. Step 2: Convert to fraction form
    266,960,266/368,405,167.08 = 144,866,698/x
  3. Step 3: Cross multiply
    266,960,266x = 368,405,167.08 × 144,866,698
  4. Step 4: Simplify right side
    266,960,266x = 53,369,640,081,017,896
  5. Step 5: Solve for x
    x = 53,369,640,081,017,896/266,960,266
  6. Step 6: Final answer
    x = 199,916,043.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.