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Finding the Fourth Proportional to 298,922,713.80, 448,384,070.70 and 137,679,577.80

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Solution

The fourth proportional to 298,922,713.80, 448,384,070.70 and 137,679,577.80 is: 206,519,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,922,713.80 : 448,384,070.70 = 137,679,577.80 : x
  2. Step 2: Convert to fraction form
    298,922,713.80/448,384,070.70 = 137,679,577.80/x
  3. Step 3: Cross multiply
    298,922,713.80x = 448,384,070.70 × 137,679,577.80
  4. Step 4: Simplify right side
    298,922,713.80x = 61,733,329,546,221,352
  5. Step 5: Solve for x
    x = 61,733,329,546,221,352/298,922,713.80
  6. Step 6: Final answer
    x = 206,519,366.70

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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.