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Finding the Fourth Proportional to 298,906,230.30, 448,359,345.45 and 264,894,006.30

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Solution

The fourth proportional to 298,906,230.30, 448,359,345.45 and 264,894,006.30 is: 397,341,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,906,230.30 : 448,359,345.45 = 264,894,006.30 : x
  2. Step 2: Convert to fraction form
    298,906,230.30/448,359,345.45 = 264,894,006.30/x
  3. Step 3: Cross multiply
    298,906,230.30x = 448,359,345.45 × 264,894,006.30
  4. Step 4: Simplify right side
    298,906,230.30x = 118,767,703,278,296,176
  5. Step 5: Solve for x
    x = 118,767,703,278,296,176/298,906,230.30
  6. Step 6: Final answer
    x = 397,341,009.45

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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.