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Finding the Fourth Proportional to 27,243,023,104.80, 40,864,534,657.20 and 27,243,023,104.80

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Solution

The fourth proportional to 27,243,023,104.80, 40,864,534,657.20 and 27,243,023,104.80 is: 40,864,534,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243,023,104.80 : 40,864,534,657.20 = 27,243,023,104.80 : x
  2. Step 2: Convert to fraction form
    27,243,023,104.80/40,864,534,657.20 = 27,243,023,104.80/x
  3. Step 3: Cross multiply
    27,243,023,104.80x = 40,864,534,657.20 × 27,243,023,104.80
  4. Step 4: Simplify right side
    27,243,023,104.80x = 1,113,273,461,832,999,895,040
  5. Step 5: Solve for x
    x = 1,113,273,461,832,999,895,040/27,243,023,104.80
  6. Step 6: Final answer
    x = 40,864,534,657.20

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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.