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Finding the Fourth Proportional to 4,362,068,343,553.80, 6,543,102,515,330.80 and 4,362,068,343,553.80

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Solution

The fourth proportional to 4,362,068,343,553.80, 6,543,102,515,330.80 and 4,362,068,343,553.80 is: 6,543,102,515,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362,068,343,553.80 : 6,543,102,515,330.80 = 4,362,068,343,553.80 : x
  2. Step 2: Convert to fraction form
    4,362,068,343,553.80/6,543,102,515,330.80 = 4,362,068,343,553.80/x
  3. Step 3: Cross multiply
    4,362,068,343,553.80x = 6,543,102,515,330.80 × 4,362,068,343,553.80
  4. Step 4: Simplify right side
    4,362,068,343,553.80x = 28,541,460,350,751,721,765,470,208
  5. Step 5: Solve for x
    x = 28,541,460,350,751,721,765,470,208/4,362,068,343,553.80
  6. Step 6: Final answer
    x = 6,543,102,515,330.80

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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.