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Finding the Fourth Proportional to 671,938,253,999.90, 1,007,907,380,999.80 and 671,938,253,999.90

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Solution

The fourth proportional to 671,938,253,999.90, 1,007,907,380,999.80 and 671,938,253,999.90 is: 1,007,907,380,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,938,253,999.90 : 1,007,907,380,999.80 = 671,938,253,999.90 : x
  2. Step 2: Convert to fraction form
    671,938,253,999.90/1,007,907,380,999.80 = 671,938,253,999.90/x
  3. Step 3: Cross multiply
    671,938,253,999.90x = 1,007,907,380,999.80 × 671,938,253,999.90
  4. Step 4: Simplify right side
    671,938,253,999.90x = 677,251,525,782,617,678,938,112
  5. Step 5: Solve for x
    x = 677,251,525,782,617,678,938,112/671,938,253,999.90
  6. Step 6: Final answer
    x = 1,007,907,380,999.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.