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Finding the Fourth Proportional to 447,958,835,999.80, 671,938,253,999.70 and 447,958,835,999.80

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Solution

The fourth proportional to 447,958,835,999.80, 671,938,253,999.70 and 447,958,835,999.80 is: 671,938,253,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,958,835,999.80 : 671,938,253,999.70 = 447,958,835,999.80 : x
  2. Step 2: Convert to fraction form
    447,958,835,999.80/671,938,253,999.70 = 447,958,835,999.80/x
  3. Step 3: Cross multiply
    447,958,835,999.80x = 671,938,253,999.70 × 447,958,835,999.80
  4. Step 4: Simplify right side
    447,958,835,999.80x = 301,000,678,125,443,548,708,864
  5. Step 5: Solve for x
    x = 301,000,678,125,443,548,708,864/447,958,835,999.80
  6. Step 6: Final answer
    x = 671,938,253,999.70

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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.