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Finding the Fourth Proportional to 817,547,446.80, 1,226,321,170.20 and 817,547,446.80

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Solution

The fourth proportional to 817,547,446.80, 1,226,321,170.20 and 817,547,446.80 is: 1,226,321,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,547,446.80 : 1,226,321,170.20 = 817,547,446.80 : x
  2. Step 2: Convert to fraction form
    817,547,446.80/1,226,321,170.20 = 817,547,446.80/x
  3. Step 3: Cross multiply
    817,547,446.80x = 1,226,321,170.20 × 817,547,446.80
  4. Step 4: Simplify right side
    817,547,446.80x = 1,002,575,741,653,798,272
  5. Step 5: Solve for x
    x = 1,002,575,741,653,798,272/817,547,446.80
  6. Step 6: Final answer
    x = 1,226,321,170.20

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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.