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Finding the Fourth Proportional to 603,197,723, 832,480,419.66 and 365,174,103.80

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Solution

The fourth proportional to 603,197,723, 832,480,419.66 and 365,174,103.80 is: 503,981,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,197,723 : 832,480,419.66 = 365,174,103.80 : x
  2. Step 2: Convert to fraction form
    603,197,723/832,480,419.66 = 365,174,103.80/x
  3. Step 3: Cross multiply
    603,197,723x = 832,480,419.66 × 365,174,103.80
  4. Step 4: Simplify right side
    603,197,723x = 304,000,291,180,388,416
  5. Step 5: Solve for x
    x = 304,000,291,180,388,416/603,197,723
  6. Step 6: Final answer
    x = 503,981,165.03

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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.