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Finding the Fourth Proportional to 657,082,668.73, 906,772,663.71 and 359,722,500.75

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Solution

The fourth proportional to 657,082,668.73, 906,772,663.71 and 359,722,500.75 is: 496,416,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,082,668.73 : 906,772,663.71 = 359,722,500.75 : x
  2. Step 2: Convert to fraction form
    657,082,668.73/906,772,663.71 = 359,722,500.75/x
  3. Step 3: Cross multiply
    657,082,668.73x = 906,772,663.71 × 359,722,500.75
  4. Step 4: Simplify right side
    657,082,668.73x = 326,186,530,199,701,376
  5. Step 5: Solve for x
    x = 326,186,530,199,701,376/657,082,668.73
  6. Step 6: Final answer
    x = 496,416,274.12

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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.