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Finding the Fourth Proportional to 200,640,577.40, 300,960,866.10 and 170,029,575.80

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Solution

The fourth proportional to 200,640,577.40, 300,960,866.10 and 170,029,575.80 is: 255,044,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,640,577.40 : 300,960,866.10 = 170,029,575.80 : x
  2. Step 2: Convert to fraction form
    200,640,577.40/300,960,866.10 = 170,029,575.80/x
  3. Step 3: Cross multiply
    200,640,577.40x = 300,960,866.10 × 170,029,575.80
  4. Step 4: Simplify right side
    200,640,577.40x = 51,172,248,395,383,608
  5. Step 5: Solve for x
    x = 51,172,248,395,383,608/200,640,577.40
  6. Step 6: Final answer
    x = 255,044,363.70

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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.