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Finding the Fourth Proportional to 250,938,863,997.80, 352,196,006,443 and 250,938,863,997.80

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Solution

The fourth proportional to 250,938,863,997.80, 352,196,006,443 and 250,938,863,997.80 is: 352,196,006,443

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,938,863,997.80 : 352,196,006,443 = 250,938,863,997.80 : x
  2. Step 2: Convert to fraction form
    250,938,863,997.80/352,196,006,443 = 250,938,863,997.80/x
  3. Step 3: Cross multiply
    250,938,863,997.80x = 352,196,006,443 × 250,938,863,997.80
  4. Step 4: Simplify right side
    250,938,863,997.80x = 88,379,665,761,368,270,700,544
  5. Step 5: Solve for x
    x = 88,379,665,761,368,270,700,544/250,938,863,997.80
  6. Step 6: Final answer
    x = 352,196,006,443

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.