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Finding the Fourth Proportional to 305,894,702.68, 458,841,638.49 and 142,042,861.78

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Solution

The fourth proportional to 305,894,702.68, 458,841,638.49 and 142,042,861.78 is: 213,064,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,894,702.68 : 458,841,638.49 = 142,042,861.78 : x
  2. Step 2: Convert to fraction form
    305,894,702.68/458,841,638.49 = 142,042,861.78/x
  3. Step 3: Cross multiply
    305,894,702.68x = 458,841,638.49 × 142,042,861.78
  4. Step 4: Simplify right side
    305,894,702.68x = 65,175,179,434,943,800
  5. Step 5: Solve for x
    x = 65,175,179,434,943,800/305,894,702.68
  6. Step 6: Final answer
    x = 213,064,099.72

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