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Finding the Fourth Proportional to 11,792,194,804,903, 17,688,292,207,354 and 11,792,194,804,903

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Solution

The fourth proportional to 11,792,194,804,903, 17,688,292,207,354 and 11,792,194,804,903 is: 17,688,292,207,354

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792,194,804,903 : 17,688,292,207,354 = 11,792,194,804,903 : x
  2. Step 2: Convert to fraction form
    11,792,194,804,903/17,688,292,207,354 = 11,792,194,804,903/x
  3. Step 3: Cross multiply
    11,792,194,804,903x = 17,688,292,207,354 × 11,792,194,804,903
  4. Step 4: Simplify right side
    11,792,194,804,903x = 208,583,787,475,166,060,026,527,744
  5. Step 5: Solve for x
    x = 208,583,787,475,166,060,026,527,744/11,792,194,804,903
  6. Step 6: Final answer
    x = 17,688,292,207,354

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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.