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Finding the Fourth Proportional to 828,656,404.74, 1,143,375,131.30 and 476,164,294.22

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Solution

The fourth proportional to 828,656,404.74, 1,143,375,131.30 and 476,164,294.22 is: 657,008,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,656,404.74 : 1,143,375,131.30 = 476,164,294.22 : x
  2. Step 2: Convert to fraction form
    828,656,404.74/1,143,375,131.30 = 476,164,294.22/x
  3. Step 3: Cross multiply
    828,656,404.74x = 1,143,375,131.30 × 476,164,294.22
  4. Step 4: Simplify right side
    828,656,404.74x = 544,434,412,416,066,624
  5. Step 5: Solve for x
    x = 544,434,412,416,066,624/828,656,404.74
  6. Step 6: Final answer
    x = 657,008,633.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.