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Finding the Fourth Proportional to 298,296,602.40, 446,689,076.40 and 237,830,426.40

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Solution

The fourth proportional to 298,296,602.40, 446,689,076.40 and 237,830,426.40 is: 356,143,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,296,602.40 : 446,689,076.40 = 237,830,426.40 : x
  2. Step 2: Convert to fraction form
    298,296,602.40/446,689,076.40 = 237,830,426.40/x
  3. Step 3: Cross multiply
    298,296,602.40x = 446,689,076.40 × 237,830,426.40
  4. Step 4: Simplify right side
    298,296,602.40x = 106,236,253,508,434,176
  5. Step 5: Solve for x
    x = 106,236,253,508,434,176/298,296,602.40
  6. Step 6: Final answer
    x = 356,143,022.26

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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.