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Finding the Fourth Proportional to 978,730,934.76, 1,468,100,360.61 and 396,476,192.61

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Solution

The fourth proportional to 978,730,934.76, 1,468,100,360.61 and 396,476,192.61 is: 594,715,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,730,934.76 : 1,468,100,360.61 = 396,476,192.61 : x
  2. Step 2: Convert to fraction form
    978,730,934.76/1,468,100,360.61 = 396,476,192.61/x
  3. Step 3: Cross multiply
    978,730,934.76x = 1,468,100,360.61 × 396,476,192.61
  4. Step 4: Simplify right side
    978,730,934.76x = 582,066,841,344,020,736
  5. Step 5: Solve for x
    x = 582,066,841,344,020,736/978,730,934.76
  6. Step 6: Final answer
    x = 594,715,892.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.