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Finding the Fourth Proportional to 10,898,113,086,257, 16,347,169,629,385 and 10,898,113,086,257

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Solution

The fourth proportional to 10,898,113,086,257, 16,347,169,629,385 and 10,898,113,086,257 is: 16,347,169,629,385

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898,113,086,257 : 16,347,169,629,385 = 10,898,113,086,257 : x
  2. Step 2: Convert to fraction form
    10,898,113,086,257/16,347,169,629,385 = 10,898,113,086,257/x
  3. Step 3: Cross multiply
    10,898,113,086,257x = 16,347,169,629,385 × 10,898,113,086,257
  4. Step 4: Simplify right side
    10,898,113,086,257x = 178,153,303,261,263,654,664,798,208
  5. Step 5: Solve for x
    x = 178,153,303,261,263,654,664,798,208/10,898,113,086,257
  6. Step 6: Final answer
    x = 16,347,169,629,385

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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.