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Finding the Fourth Proportional to 298,927,266.54, 448,520,348.34 and 160,591,468.38

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Solution

The fourth proportional to 298,927,266.54, 448,520,348.34 and 160,591,468.38 is: 240,956,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,927,266.54 : 448,520,348.34 = 160,591,468.38 : x
  2. Step 2: Convert to fraction form
    298,927,266.54/448,520,348.34 = 160,591,468.38/x
  3. Step 3: Cross multiply
    298,927,266.54x = 448,520,348.34 × 160,591,468.38
  4. Step 4: Simplify right side
    298,927,266.54x = 72,028,541,338,229,688
  5. Step 5: Solve for x
    x = 72,028,541,338,229,688/298,927,266.54
  6. Step 6: Final answer
    x = 240,956,745.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.