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Finding the Fourth Proportional to 12,497,898,042,811, 18,746,847,064,217 and 12,497,898,042,811

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Solution

The fourth proportional to 12,497,898,042,811, 18,746,847,064,217 and 12,497,898,042,811 is: 18,746,847,064,217

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497,898,042,811 : 18,746,847,064,217 = 12,497,898,042,811 : x
  2. Step 2: Convert to fraction form
    12,497,898,042,811/18,746,847,064,217 = 12,497,898,042,811/x
  3. Step 3: Cross multiply
    12,497,898,042,811x = 18,746,847,064,217 × 12,497,898,042,811
  4. Step 4: Simplify right side
    12,497,898,042,811x = 234,296,183,232,754,777,967,296,512
  5. Step 5: Solve for x
    x = 234,296,183,232,754,777,967,296,512/12,497,898,042,811
  6. Step 6: Final answer
    x = 18,746,847,064,217

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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.