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Finding the Fourth Proportional to 682,245,501, 941,498,792.86 and 368,979,714.96

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Solution

The fourth proportional to 682,245,501, 941,498,792.86 and 368,979,714.96 is: 509,192,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,245,501 : 941,498,792.86 = 368,979,714.96 : x
  2. Step 2: Convert to fraction form
    682,245,501/941,498,792.86 = 368,979,714.96/x
  3. Step 3: Cross multiply
    682,245,501x = 941,498,792.86 × 368,979,714.96
  4. Step 4: Simplify right side
    682,245,501x = 347,393,956,224,666,880
  5. Step 5: Solve for x
    x = 347,393,956,224,666,880/682,245,501
  6. Step 6: Final answer
    x = 509,192,007.45

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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.