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Finding the Fourth Proportional to 548,963,097.48, 757,582,236.48 and 298,078,063.65

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Solution

The fourth proportional to 548,963,097.48, 757,582,236.48 and 298,078,063.65 is: 411,354,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,963,097.48 : 757,582,236.48 = 298,078,063.65 : x
  2. Step 2: Convert to fraction form
    548,963,097.48/757,582,236.48 = 298,078,063.65/x
  3. Step 3: Cross multiply
    548,963,097.48x = 757,582,236.48 × 298,078,063.65
  4. Step 4: Simplify right side
    548,963,097.48x = 225,818,646,105,594,784
  5. Step 5: Solve for x
    x = 225,818,646,105,594,784/548,963,097.48
  6. Step 6: Final answer
    x = 411,354,874.57

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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.