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Finding the Fourth Proportional to 299,382,303.80, 449,073,455.70 and 202,447,465.40

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Solution

The fourth proportional to 299,382,303.80, 449,073,455.70 and 202,447,465.40 is: 303,671,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,382,303.80 : 449,073,455.70 = 202,447,465.40 : x
  2. Step 2: Convert to fraction form
    299,382,303.80/449,073,455.70 = 202,447,465.40/x
  3. Step 3: Cross multiply
    299,382,303.80x = 449,073,455.70 × 202,447,465.40
  4. Step 4: Simplify right side
    299,382,303.80x = 90,913,782,884,884,176
  5. Step 5: Solve for x
    x = 90,913,782,884,884,176/299,382,303.80
  6. Step 6: Final answer
    x = 303,671,198.10

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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.