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Finding the Fourth Proportional to 10,898,113,086,280, 16,347,169,629,420 and 10,898,113,086,280

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Solution

The fourth proportional to 10,898,113,086,280, 16,347,169,629,420 and 10,898,113,086,280 is: 16,347,169,629,420

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898,113,086,280 : 16,347,169,629,420 = 10,898,113,086,280 : x
  2. Step 2: Convert to fraction form
    10,898,113,086,280/16,347,169,629,420 = 10,898,113,086,280/x
  3. Step 3: Cross multiply
    10,898,113,086,280x = 16,347,169,629,420 × 10,898,113,086,280
  4. Step 4: Simplify right side
    10,898,113,086,280x = 178,153,303,262,021,080,737,382,400
  5. Step 5: Solve for x
    x = 178,153,303,262,021,080,737,382,400/10,898,113,086,280
  6. Step 6: Final answer
    x = 16,347,169,629,420

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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.