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Finding the Fourth Proportional to 978,925,104, 1,467,405,838.65 and 454,662,383.38

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Solution

The fourth proportional to 978,925,104, 1,467,405,838.65 and 454,662,383.38 is: 681,537,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,925,104 : 1,467,405,838.65 = 454,662,383.38 : x
  2. Step 2: Convert to fraction form
    978,925,104/1,467,405,838.65 = 454,662,383.38/x
  3. Step 3: Cross multiply
    978,925,104x = 1,467,405,838.65 × 454,662,383.38
  4. Step 4: Simplify right side
    978,925,104x = 667,174,235,986,336,768
  5. Step 5: Solve for x
    x = 667,174,235,986,336,768/978,925,104
  6. Step 6: Final answer
    x = 681,537,569.38

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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.