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Finding the Fourth Proportional to 299,498,282.79, 448,949,817.23 and 208,430,553.03

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Solution

The fourth proportional to 299,498,282.79, 448,949,817.23 and 208,430,553.03 is: 312,438,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,498,282.79 : 448,949,817.23 = 208,430,553.03 : x
  2. Step 2: Convert to fraction form
    299,498,282.79/448,949,817.23 = 208,430,553.03/x
  3. Step 3: Cross multiply
    299,498,282.79x = 448,949,817.23 × 208,430,553.03
  4. Step 4: Simplify right side
    299,498,282.79x = 93,574,858,686,924,176
  5. Step 5: Solve for x
    x = 93,574,858,686,924,176/299,498,282.79
  6. Step 6: Final answer
    x = 312,438,715.22

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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.