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Finding the Fourth Proportional to 10,684,669,662,830, 16,027,004,494,245 and 10,684,669,662,830

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Solution

The fourth proportional to 10,684,669,662,830, 16,027,004,494,245 and 10,684,669,662,830 is: 16,027,004,494,245

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,669,662,830 : 16,027,004,494,245 = 10,684,669,662,830 : x
  2. Step 2: Convert to fraction form
    10,684,669,662,830/16,027,004,494,245 = 10,684,669,662,830/x
  3. Step 3: Cross multiply
    10,684,669,662,830x = 16,027,004,494,245 × 10,684,669,662,830
  4. Step 4: Simplify right side
    10,684,669,662,830x = 171,243,248,705,699,620,973,445,120
  5. Step 5: Solve for x
    x = 171,243,248,705,699,620,973,445,120/10,684,669,662,830
  6. Step 6: Final answer
    x = 16,027,004,494,245

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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.