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Finding the Fourth Proportional to 17,688,292,207,323, 26,532,438,310,992 and 17,688,292,207,323

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Solution

The fourth proportional to 17,688,292,207,323, 26,532,438,310,992 and 17,688,292,207,323 is: 26,532,438,310,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688,292,207,323 : 26,532,438,310,992 = 17,688,292,207,323 : x
  2. Step 2: Convert to fraction form
    17,688,292,207,323/26,532,438,310,992 = 17,688,292,207,323/x
  3. Step 3: Cross multiply
    17,688,292,207,323x = 26,532,438,310,992 × 17,688,292,207,323
  4. Step 4: Simplify right side
    17,688,292,207,323x = 469,313,521,817,597,993,956,671,488
  5. Step 5: Solve for x
    x = 469,313,521,817,597,993,956,671,488/17,688,292,207,323
  6. Step 6: Final answer
    x = 26,532,438,310,992

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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.