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Finding the Fourth Proportional to 735,893,937.86, 1,103,993,253.22 and 299,194,696.40

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Solution

The fourth proportional to 735,893,937.86, 1,103,993,253.22 and 299,194,696.40 is: 448,853,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,893,937.86 : 1,103,993,253.22 = 299,194,696.40 : x
  2. Step 2: Convert to fraction form
    735,893,937.86/1,103,993,253.22 = 299,194,696.40/x
  3. Step 3: Cross multiply
    735,893,937.86x = 1,103,993,253.22 × 299,194,696.40
  4. Step 4: Simplify right side
    735,893,937.86x = 330,308,926,224,806,208
  5. Step 5: Solve for x
    x = 330,308,926,224,806,208/735,893,937.86
  6. Step 6: Final answer
    x = 448,853,984.56

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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.