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Finding the Fourth Proportional to 511,690,956.70, 706,133,502.14 and 276,741,611.50

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Solution

The fourth proportional to 511,690,956.70, 706,133,502.14 and 276,741,611.50 is: 381,903,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,690,956.70 : 706,133,502.14 = 276,741,611.50 : x
  2. Step 2: Convert to fraction form
    511,690,956.70/706,133,502.14 = 276,741,611.50/x
  3. Step 3: Cross multiply
    511,690,956.70x = 706,133,502.14 × 276,741,611.50
  4. Step 4: Simplify right side
    511,690,956.70x = 195,416,523,316,362,304
  5. Step 5: Solve for x
    x = 195,416,523,316,362,304/511,690,956.70
  6. Step 6: Final answer
    x = 381,903,414.08

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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.