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Finding the Fourth Proportional to 491,968,722.53, 678,924,903.02 and 293,747,539.03

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Solution

The fourth proportional to 491,968,722.53, 678,924,903.02 and 293,747,539.03 is: 405,376,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,968,722.53 : 678,924,903.02 = 293,747,539.03 : x
  2. Step 2: Convert to fraction form
    491,968,722.53/678,924,903.02 = 293,747,539.03/x
  3. Step 3: Cross multiply
    491,968,722.53x = 678,924,903.02 × 293,747,539.03
  4. Step 4: Simplify right side
    491,968,722.53x = 199,432,519,445,140,352
  5. Step 5: Solve for x
    x = 199,432,519,445,140,352/491,968,722.53
  6. Step 6: Final answer
    x = 405,376,419.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.