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Finding the Fourth Proportional to 192,191,616,009.78, 288,287,424,014.67 and 192,191,616,009.78

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Solution

The fourth proportional to 192,191,616,009.78, 288,287,424,014.67 and 192,191,616,009.78 is: 288,287,424,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,191,616,009.78 : 288,287,424,014.67 = 192,191,616,009.78 : x
  2. Step 2: Convert to fraction form
    192,191,616,009.78/288,287,424,014.67 = 192,191,616,009.78/x
  3. Step 3: Cross multiply
    192,191,616,009.78x = 288,287,424,014.67 × 192,191,616,009.78
  4. Step 4: Simplify right side
    192,191,616,009.78x = 55,406,425,896,676,084,416,512
  5. Step 5: Solve for x
    x = 55,406,425,896,676,084,416,512/192,191,616,009.78
  6. Step 6: Final answer
    x = 288,287,424,014.67

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1.5x scale

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.