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Finding the Fourth Proportional to 299,006,448.40, 448,509,672.60 and 183,616,829.20

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Solution

The fourth proportional to 299,006,448.40, 448,509,672.60 and 183,616,829.20 is: 275,425,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,006,448.40 : 448,509,672.60 = 183,616,829.20 : x
  2. Step 2: Convert to fraction form
    299,006,448.40/448,509,672.60 = 183,616,829.20/x
  3. Step 3: Cross multiply
    299,006,448.40x = 448,509,672.60 × 183,616,829.20
  4. Step 4: Simplify right side
    299,006,448.40x = 82,353,923,948,342,112
  5. Step 5: Solve for x
    x = 82,353,923,948,342,112/299,006,448.40
  6. Step 6: Final answer
    x = 275,425,243.80

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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.