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Finding the Fourth Proportional to 380,071,409.40, 569,876,166.90 and 149,775,060.60

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Solution

The fourth proportional to 380,071,409.40, 569,876,166.90 and 149,775,060.60 is: 224,571,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,071,409.40 : 569,876,166.90 = 149,775,060.60 : x
  2. Step 2: Convert to fraction form
    380,071,409.40/569,876,166.90 = 149,775,060.60/x
  3. Step 3: Cross multiply
    380,071,409.40x = 569,876,166.90 × 149,775,060.60
  4. Step 4: Simplify right side
    380,071,409.40x = 85,353,237,431,943,200
  5. Step 5: Solve for x
    x = 85,353,237,431,943,200/380,071,409.40
  6. Step 6: Final answer
    x = 224,571,581.34

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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.