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Finding the Fourth Proportional to 195,150,384,047.80, 292,174,578,042.90 and 195,150,384,047.80

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Solution

The fourth proportional to 195,150,384,047.80, 292,174,578,042.90 and 195,150,384,047.80 is: 292,174,578,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,150,384,047.80 : 292,174,578,042.90 = 195,150,384,047.80 : x
  2. Step 2: Convert to fraction form
    195,150,384,047.80/292,174,578,042.90 = 195,150,384,047.80/x
  3. Step 3: Cross multiply
    195,150,384,047.80x = 292,174,578,042.90 × 195,150,384,047.80
  4. Step 4: Simplify right side
    195,150,384,047.80x = 57,017,981,114,075,850,997,760
  5. Step 5: Solve for x
    x = 57,017,981,114,075,850,997,760/195,150,384,047.80
  6. Step 6: Final answer
    x = 292,174,578,042.90

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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.