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Finding the Fourth Proportional to 298,952,922.80, 448,429,384.20 and 287,473,797.20

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Solution

The fourth proportional to 298,952,922.80, 448,429,384.20 and 287,473,797.20 is: 431,210,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,952,922.80 : 448,429,384.20 = 287,473,797.20 : x
  2. Step 2: Convert to fraction form
    298,952,922.80/448,429,384.20 = 287,473,797.20/x
  3. Step 3: Cross multiply
    298,952,922.80x = 448,429,384.20 × 287,473,797.20
  4. Step 4: Simplify right side
    298,952,922.80x = 128,911,697,852,031,680
  5. Step 5: Solve for x
    x = 128,911,697,852,031,680/298,952,922.80
  6. Step 6: Final answer
    x = 431,210,695.80

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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.