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Finding the Fourth Proportional to 613,594,976.98, 846,736,604.24 and 345,664,568.16

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Solution

The fourth proportional to 613,594,976.98, 846,736,604.24 and 345,664,568.16 is: 477,003,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,594,976.98 : 846,736,604.24 = 345,664,568.16 : x
  2. Step 2: Convert to fraction form
    613,594,976.98/846,736,604.24 = 345,664,568.16/x
  3. Step 3: Cross multiply
    613,594,976.98x = 846,736,604.24 × 345,664,568.16
  4. Step 4: Simplify right side
    613,594,976.98x = 292,686,842,649,884,480
  5. Step 5: Solve for x
    x = 292,686,842,649,884,480/613,594,976.98
  6. Step 6: Final answer
    x = 477,003,322.44

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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.