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Finding the Fourth Proportional to 345,314,234.70, 517,971,352.05 and 345,314,234.70

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Solution

The fourth proportional to 345,314,234.70, 517,971,352.05 and 345,314,234.70 is: 517,971,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,314,234.70 : 517,971,352.05 = 345,314,234.70 : x
  2. Step 2: Convert to fraction form
    345,314,234.70/517,971,352.05 = 345,314,234.70/x
  3. Step 3: Cross multiply
    345,314,234.70x = 517,971,352.05 × 345,314,234.70
  4. Step 4: Simplify right side
    345,314,234.70x = 178,862,881,029,670,016
  5. Step 5: Solve for x
    x = 178,862,881,029,670,016/345,314,234.70
  6. Step 6: Final answer
    x = 517,971,352.05

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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.