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Finding the Fourth Proportional to 299,271,811.30, 448,907,716.95 and 282,643,612.90

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Solution

The fourth proportional to 299,271,811.30, 448,907,716.95 and 282,643,612.90 is: 423,965,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,271,811.30 : 448,907,716.95 = 282,643,612.90 : x
  2. Step 2: Convert to fraction form
    299,271,811.30/448,907,716.95 = 282,643,612.90/x
  3. Step 3: Cross multiply
    299,271,811.30x = 448,907,716.95 × 282,643,612.90
  4. Step 4: Simplify right side
    299,271,811.30x = 126,880,898,977,438,560
  5. Step 5: Solve for x
    x = 126,880,898,977,438,560/299,271,811.30
  6. Step 6: Final answer
    x = 423,965,419.35

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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.