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Finding the Fourth Proportional to 550,416,834, 759,565,406.52 and 299,512,669.32

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Solution

The fourth proportional to 550,416,834, 759,565,406.52 and 299,512,669.32 is: 413,322,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,416,834 : 759,565,406.52 = 299,512,669.32 : x
  2. Step 2: Convert to fraction form
    550,416,834/759,565,406.52 = 299,512,669.32/x
  3. Step 3: Cross multiply
    550,416,834x = 759,565,406.52 × 299,512,669.32
  4. Step 4: Simplify right side
    550,416,834x = 227,499,462,429,936,128
  5. Step 5: Solve for x
    x = 227,499,462,429,936,128/550,416,834
  6. Step 6: Final answer
    x = 413,322,137.65

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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.