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Finding the Fourth Proportional to 772,322,182.70, 1,158,483,274.05 and 772,322,182.70

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Solution

The fourth proportional to 772,322,182.70, 1,158,483,274.05 and 772,322,182.70 is: 1,158,483,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,322,182.70 : 1,158,483,274.05 = 772,322,182.70 : x
  2. Step 2: Convert to fraction form
    772,322,182.70/1,158,483,274.05 = 772,322,182.70/x
  3. Step 3: Cross multiply
    772,322,182.70x = 1,158,483,274.05 × 772,322,182.70
  4. Step 4: Simplify right side
    772,322,182.70x = 894,722,330,835,738,240
  5. Step 5: Solve for x
    x = 894,722,330,835,738,240/772,322,182.70
  6. Step 6: Final answer
    x = 1,158,483,274.05

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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.