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Finding the Fourth Proportional to 192,191,616,093.15, 288,287,424,139.72 and 192,191,616,093.15

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Solution

The fourth proportional to 192,191,616,093.15, 288,287,424,139.72 and 192,191,616,093.15 is: 288,287,424,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,191,616,093.15 : 288,287,424,139.72 = 192,191,616,093.15 : x
  2. Step 2: Convert to fraction form
    192,191,616,093.15/288,287,424,139.72 = 192,191,616,093.15/x
  3. Step 3: Cross multiply
    192,191,616,093.15x = 288,287,424,139.72 × 192,191,616,093.15
  4. Step 4: Simplify right side
    192,191,616,093.15x = 55,406,425,944,744,158,822,400
  5. Step 5: Solve for x
    x = 55,406,425,944,744,158,822,400/192,191,616,093.15
  6. Step 6: Final answer
    x = 288,287,424,139.72

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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.