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Finding the Fourth Proportional to 12,497,898,042,932, 18,746,847,064,398 and 12,497,898,042,932

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Solution

The fourth proportional to 12,497,898,042,932, 18,746,847,064,398 and 12,497,898,042,932 is: 18,746,847,064,398

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497,898,042,932 : 18,746,847,064,398 = 12,497,898,042,932 : x
  2. Step 2: Convert to fraction form
    12,497,898,042,932/18,746,847,064,398 = 12,497,898,042,932/x
  3. Step 3: Cross multiply
    12,497,898,042,932x = 18,746,847,064,398 × 12,497,898,042,932
  4. Step 4: Simplify right side
    12,497,898,042,932x = 234,296,183,237,285,281,269,809,152
  5. Step 5: Solve for x
    x = 234,296,183,237,285,281,269,809,152/12,497,898,042,932
  6. Step 6: Final answer
    x = 18,746,847,064,398

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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.