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Finding the Fourth Proportional to 299,295,808.30, 448,943,712.45 and 183,906,189.10

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Solution

The fourth proportional to 299,295,808.30, 448,943,712.45 and 183,906,189.10 is: 275,859,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,295,808.30 : 448,943,712.45 = 183,906,189.10 : x
  2. Step 2: Convert to fraction form
    299,295,808.30/448,943,712.45 = 183,906,189.10/x
  3. Step 3: Cross multiply
    299,295,808.30x = 448,943,712.45 × 183,906,189.10
  4. Step 4: Simplify right side
    299,295,808.30x = 82,563,527,277,085,712
  5. Step 5: Solve for x
    x = 82,563,527,277,085,712/299,295,808.30
  6. Step 6: Final answer
    x = 275,859,283.65

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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.