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Finding the Fourth Proportional to 547,673,652, 821,516,788.86 and 197,946,280.23

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Solution

The fourth proportional to 547,673,652, 821,516,788.86 and 197,946,280.23 is: 296,921,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,673,652 : 821,516,788.86 = 197,946,280.23 : x
  2. Step 2: Convert to fraction form
    547,673,652/821,516,788.86 = 197,946,280.23/x
  3. Step 3: Cross multiply
    547,673,652x = 821,516,788.86 × 197,946,280.23
  4. Step 4: Simplify right side
    547,673,652x = 162,616,192,501,331,296
  5. Step 5: Solve for x
    x = 162,616,192,501,331,296/547,673,652
  6. Step 6: Final answer
    x = 296,921,701.29

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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.