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Finding the Fourth Proportional to 726,605,211.70, 1,089,907,817.55 and 726,605,211.70

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Solution

The fourth proportional to 726,605,211.70, 1,089,907,817.55 and 726,605,211.70 is: 1,089,907,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,605,211.70 : 1,089,907,817.55 = 726,605,211.70 : x
  2. Step 2: Convert to fraction form
    726,605,211.70/1,089,907,817.55 = 726,605,211.70/x
  3. Step 3: Cross multiply
    726,605,211.70x = 1,089,907,817.55 × 726,605,211.70
  4. Step 4: Simplify right side
    726,605,211.70x = 791,932,700,504,402,688
  5. Step 5: Solve for x
    x = 791,932,700,504,402,688/726,605,211.70
  6. Step 6: Final answer
    x = 1,089,907,817.55

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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.