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Finding the Fourth Proportional to 305,894,701.68, 458,841,636.99 and 142,042,860.78

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Solution

The fourth proportional to 305,894,701.68, 458,841,636.99 and 142,042,860.78 is: 213,064,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,894,701.68 : 458,841,636.99 = 142,042,860.78 : x
  2. Step 2: Convert to fraction form
    305,894,701.68/458,841,636.99 = 142,042,860.78/x
  3. Step 3: Cross multiply
    305,894,701.68x = 458,841,636.99 × 142,042,860.78
  4. Step 4: Simplify right side
    305,894,701.68x = 65,175,178,763,037,872
  5. Step 5: Solve for x
    x = 65,175,178,763,037,872/305,894,701.68
  6. Step 6: Final answer
    x = 213,064,098.22

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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.