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Finding the Fourth Proportional to 447,958,835,999.55, 671,938,253,999.32 and 447,958,835,999.55

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Solution

The fourth proportional to 447,958,835,999.55, 671,938,253,999.32 and 447,958,835,999.55 is: 671,938,253,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,958,835,999.55 : 671,938,253,999.32 = 447,958,835,999.55 : x
  2. Step 2: Convert to fraction form
    447,958,835,999.55/671,938,253,999.32 = 447,958,835,999.55/x
  3. Step 3: Cross multiply
    447,958,835,999.55x = 671,938,253,999.32 × 447,958,835,999.55
  4. Step 4: Simplify right side
    447,958,835,999.55x = 301,000,678,125,105,320,034,304
  5. Step 5: Solve for x
    x = 301,000,678,125,105,320,034,304/447,958,835,999.55
  6. Step 6: Final answer
    x = 671,938,253,999.32

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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.