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Finding the Fourth Proportional to 646,706,640.60, 970,059,960.90 and 186,659,818.20

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Solution

The fourth proportional to 646,706,640.60, 970,059,960.90 and 186,659,818.20 is: 279,989,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,706,640.60 : 970,059,960.90 = 186,659,818.20 : x
  2. Step 2: Convert to fraction form
    646,706,640.60/970,059,960.90 = 186,659,818.20/x
  3. Step 3: Cross multiply
    646,706,640.60x = 970,059,960.90 × 186,659,818.20
  4. Step 4: Simplify right side
    646,706,640.60x = 181,071,215,944,693,088
  5. Step 5: Solve for x
    x = 181,071,215,944,693,088/646,706,640.60
  6. Step 6: Final answer
    x = 279,989,727.30

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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.