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Finding the Fourth Proportional to 12,497,898,042,779, 18,746,847,064,171 and 12,497,898,042,779

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Solution

The fourth proportional to 12,497,898,042,779, 18,746,847,064,171 and 12,497,898,042,779 is: 18,746,847,064,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497,898,042,779 : 18,746,847,064,171 = 12,497,898,042,779 : x
  2. Step 2: Convert to fraction form
    12,497,898,042,779/18,746,847,064,171 = 12,497,898,042,779/x
  3. Step 3: Cross multiply
    12,497,898,042,779x = 18,746,847,064,171 × 12,497,898,042,779
  4. Step 4: Simplify right side
    12,497,898,042,779x = 234,296,183,231,579,984,152,756,224
  5. Step 5: Solve for x
    x = 234,296,183,231,579,984,152,756,224/12,497,898,042,779
  6. Step 6: Final answer
    x = 18,746,847,064,171

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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.