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Finding the Fourth Proportional to 701,754,096.54, 968,382,287.04 and 384,152,902.14

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Solution

The fourth proportional to 701,754,096.54, 968,382,287.04 and 384,152,902.14 is: 530,110,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,754,096.54 : 968,382,287.04 = 384,152,902.14 : x
  2. Step 2: Convert to fraction form
    701,754,096.54/968,382,287.04 = 384,152,902.14/x
  3. Step 3: Cross multiply
    701,754,096.54x = 968,382,287.04 × 384,152,902.14
  4. Step 4: Simplify right side
    701,754,096.54x = 372,006,865,947,386,496
  5. Step 5: Solve for x
    x = 372,006,865,947,386,496/701,754,096.54
  6. Step 6: Final answer
    x = 530,110,002.61

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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.