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Finding the Fourth Proportional to 72,648,064,894.80, 108,972,097,342.20 and 72,648,064,894.80

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Solution

The fourth proportional to 72,648,064,894.80, 108,972,097,342.20 and 72,648,064,894.80 is: 108,972,097,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,648,064,894.80 : 108,972,097,342.20 = 72,648,064,894.80 : x
  2. Step 2: Convert to fraction form
    72,648,064,894.80/108,972,097,342.20 = 72,648,064,894.80/x
  3. Step 3: Cross multiply
    72,648,064,894.80x = 108,972,097,342.20 × 72,648,064,894.80
  4. Step 4: Simplify right side
    72,648,064,894.80x = 7,916,611,999,438,608,531,456
  5. Step 5: Solve for x
    x = 7,916,611,999,438,608,531,456/72,648,064,894.80
  6. Step 6: Final answer
    x = 108,972,097,342.20

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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.