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Finding the Fourth Proportional to 775,797,048.22, 1,070,599,643.76 and 423,373,039.78

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Solution

The fourth proportional to 775,797,048.22, 1,070,599,643.76 and 423,373,039.78 is: 584,254,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,797,048.22 : 1,070,599,643.76 = 423,373,039.78 : x
  2. Step 2: Convert to fraction form
    775,797,048.22/1,070,599,643.76 = 423,373,039.78/x
  3. Step 3: Cross multiply
    775,797,048.22x = 1,070,599,643.76 × 423,373,039.78
  4. Step 4: Simplify right side
    775,797,048.22x = 453,263,025,566,056,256
  5. Step 5: Solve for x
    x = 453,263,025,566,056,256/775,797,048.22
  6. Step 6: Final answer
    x = 584,254,640.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.