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Finding the Fourth Proportional to 13,108,517,136,102, 19,662,775,704,153 and 13,108,517,136,102

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Solution

The fourth proportional to 13,108,517,136,102, 19,662,775,704,153 and 13,108,517,136,102 is: 19,662,775,704,153

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108,517,136,102 : 19,662,775,704,153 = 13,108,517,136,102 : x
  2. Step 2: Convert to fraction form
    13,108,517,136,102/19,662,775,704,153 = 13,108,517,136,102/x
  3. Step 3: Cross multiply
    13,108,517,136,102x = 19,662,775,704,153 × 13,108,517,136,102
  4. Step 4: Simplify right side
    13,108,517,136,102x = 257,749,832,261,219,657,537,552,384
  5. Step 5: Solve for x
    x = 257,749,832,261,219,657,537,552,384/13,108,517,136,102
  6. Step 6: Final answer
    x = 19,662,775,704,153

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1.5x scale

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.