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Finding the Fourth Proportional to 205,193,088,007.80, 307,789,632,011.70 and 205,193,088,007.80

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Solution

The fourth proportional to 205,193,088,007.80, 307,789,632,011.70 and 205,193,088,007.80 is: 307,789,632,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,193,088,007.80 : 307,789,632,011.70 = 205,193,088,007.80 : x
  2. Step 2: Convert to fraction form
    205,193,088,007.80/307,789,632,011.70 = 205,193,088,007.80/x
  3. Step 3: Cross multiply
    205,193,088,007.80x = 307,789,632,011.70 × 205,193,088,007.80
  4. Step 4: Simplify right side
    205,193,088,007.80x = 63,156,305,049,265,132,011,520
  5. Step 5: Solve for x
    x = 63,156,305,049,265,132,011,520/205,193,088,007.80
  6. Step 6: Final answer
    x = 307,789,632,011.70

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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.