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Finding the Fourth Proportional to 3,873,391,534,564.80, 5,799,638,746,634.60 and 3,873,391,534,564.80

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Solution

The fourth proportional to 3,873,391,534,564.80, 5,799,638,746,634.60 and 3,873,391,534,564.80 is: 5,799,638,746,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873,391,534,564.80 : 5,799,638,746,634.60 = 3,873,391,534,564.80 : x
  2. Step 2: Convert to fraction form
    3,873,391,534,564.80/5,799,638,746,634.60 = 3,873,391,534,564.80/x
  3. Step 3: Cross multiply
    3,873,391,534,564.80x = 5,799,638,746,634.60 × 3,873,391,534,564.80
  4. Step 4: Simplify right side
    3,873,391,534,564.80x = 22,464,271,624,748,465,987,256,320
  5. Step 5: Solve for x
    x = 22,464,271,624,748,465,987,256,320/3,873,391,534,564.80
  6. Step 6: Final answer
    x = 5,799,638,746,634.60

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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.