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Finding the Fourth Proportional to 298,849,793.60, 448,274,690.40 and 211,173,838.40

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Solution

The fourth proportional to 298,849,793.60, 448,274,690.40 and 211,173,838.40 is: 316,760,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,849,793.60 : 448,274,690.40 = 211,173,838.40 : x
  2. Step 2: Convert to fraction form
    298,849,793.60/448,274,690.40 = 211,173,838.40/x
  3. Step 3: Cross multiply
    298,849,793.60x = 448,274,690.40 × 211,173,838.40
  4. Step 4: Simplify right side
    298,849,793.60x = 94,663,887,029,339,632
  5. Step 5: Solve for x
    x = 94,663,887,029,339,632/298,849,793.60
  6. Step 6: Final answer
    x = 316,760,757.60

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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.