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Finding the Fourth Proportional to 298,927,266.29, 448,520,347.97 and 160,591,468.13

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Solution

The fourth proportional to 298,927,266.29, 448,520,347.97 and 160,591,468.13 is: 240,956,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,927,266.29 : 448,520,347.97 = 160,591,468.13 : x
  2. Step 2: Convert to fraction form
    298,927,266.29/448,520,347.97 = 160,591,468.13/x
  3. Step 3: Cross multiply
    298,927,266.29x = 448,520,347.97 × 160,591,468.13
  4. Step 4: Simplify right side
    298,927,266.29x = 72,028,541,165,877,800
  5. Step 5: Solve for x
    x = 72,028,541,165,877,800/298,927,266.29
  6. Step 6: Final answer
    x = 240,956,745.30

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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.