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Finding the Fourth Proportional to 815,508,769.55, 1,223,263,154.33 and 815,508,769.55

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Solution

The fourth proportional to 815,508,769.55, 1,223,263,154.33 and 815,508,769.55 is: 1,223,263,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,508,769.55 : 1,223,263,154.33 = 815,508,769.55 : x
  2. Step 2: Convert to fraction form
    815,508,769.55/1,223,263,154.33 = 815,508,769.55/x
  3. Step 3: Cross multiply
    815,508,769.55x = 1,223,263,154.33 × 815,508,769.55
  4. Step 4: Simplify right side
    815,508,769.55x = 997,581,829,823,509,888
  5. Step 5: Solve for x
    x = 997,581,829,823,509,888/815,508,769.55
  6. Step 6: Final answer
    x = 1,223,263,154.33

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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.