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Finding the Fourth Proportional to 919,215,783,109.05, 1,378,823,674,663.60 and 919,215,783,109.05

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Solution

The fourth proportional to 919,215,783,109.05, 1,378,823,674,663.60 and 919,215,783,109.05 is: 1,378,823,674,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,215,783,109.05 : 1,378,823,674,663.60 = 919,215,783,109.05 : x
  2. Step 2: Convert to fraction form
    919,215,783,109.05/1,378,823,674,663.60 = 919,215,783,109.05/x
  3. Step 3: Cross multiply
    919,215,783,109.05x = 1,378,823,674,663.60 × 919,215,783,109.05
  4. Step 4: Simplify right side
    919,215,783,109.05x = 1,267,436,483,875,199,265,013,760
  5. Step 5: Solve for x
    x = 1,267,436,483,875,199,265,013,760/919,215,783,109.05
  6. Step 6: Final answer
    x = 1,378,823,674,663.60

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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.