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Finding the Fourth Proportional to 298,935,601.60, 448,403,402.40 and 137,377,537.60

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Solution

The fourth proportional to 298,935,601.60, 448,403,402.40 and 137,377,537.60 is: 206,066,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,935,601.60 : 448,403,402.40 = 137,377,537.60 : x
  2. Step 2: Convert to fraction form
    298,935,601.60/448,403,402.40 = 137,377,537.60/x
  3. Step 3: Cross multiply
    298,935,601.60x = 448,403,402.40 × 137,377,537.60
  4. Step 4: Simplify right side
    298,935,601.60x = 61,600,555,273,173,928
  5. Step 5: Solve for x
    x = 61,600,555,273,173,928/298,935,601.60
  6. Step 6: Final answer
    x = 206,066,306.40

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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.