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Finding the Fourth Proportional to 297,744,012.12, 410,886,978.30 and 165,582,131.16

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Solution

The fourth proportional to 297,744,012.12, 410,886,978.30 and 165,582,131.16 is: 228,503,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,744,012.12 : 410,886,978.30 = 165,582,131.16 : x
  2. Step 2: Convert to fraction form
    297,744,012.12/410,886,978.30 = 165,582,131.16/x
  3. Step 3: Cross multiply
    297,744,012.12x = 410,886,978.30 × 165,582,131.16
  4. Step 4: Simplify right side
    297,744,012.12x = 68,035,541,532,806,672
  5. Step 5: Solve for x
    x = 68,035,541,532,806,672/297,744,012.12
  6. Step 6: Final answer
    x = 228,503,475.35

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Why These Related Problems?

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