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Finding the Fourth Proportional to 66,402,664,803,978, 91,638,557,929,230 and 36,772,395,270,360

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Solution

The fourth proportional to 66,402,664,803,978, 91,638,557,929,230 and 36,772,395,270,360 is: 50,747,500,633,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,402,664,803,978 : 91,638,557,929,230 = 36,772,395,270,360 : x
  2. Step 2: Convert to fraction form
    66,402,664,803,978/91,638,557,929,230 = 36,772,395,270,360/x
  3. Step 3: Cross multiply
    66,402,664,803,978x = 91,638,557,929,230 × 36,772,395,270,360
  4. Step 4: Simplify right side
    66,402,664,803,978x = 3,369,769,274,179,428,311,730,487,296
  5. Step 5: Solve for x
    x = 3,369,769,274,179,428,311,730,487,296/66,402,664,803,978
  6. Step 6: Final answer
    x = 50,747,500,633,100.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.