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Finding the Fourth Proportional to 817,431,835.28, 1,226,147,752.91 and 817,431,835.28

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Solution

The fourth proportional to 817,431,835.28, 1,226,147,752.91 and 817,431,835.28 is: 1,226,147,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,431,835.28 : 1,226,147,752.91 = 817,431,835.28 : x
  2. Step 2: Convert to fraction form
    817,431,835.28/1,226,147,752.91 = 817,431,835.28/x
  3. Step 3: Cross multiply
    817,431,835.28x = 1,226,147,752.91 × 817,431,835.28
  4. Step 4: Simplify right side
    817,431,835.28x = 1,002,292,207,981,581,952
  5. Step 5: Solve for x
    x = 1,002,292,207,981,581,952/817,431,835.28
  6. Step 6: Final answer
    x = 1,226,147,752.91

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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.