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Finding the Fourth Proportional to 199,295,577.40, 298,943,366.10 and 199,295,577.40

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Solution

The fourth proportional to 199,295,577.40, 298,943,366.10 and 199,295,577.40 is: 298,943,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,295,577.40 : 298,943,366.10 = 199,295,577.40 : x
  2. Step 2: Convert to fraction form
    199,295,577.40/298,943,366.10 = 199,295,577.40/x
  3. Step 3: Cross multiply
    199,295,577.40x = 298,943,366.10 × 199,295,577.40
  4. Step 4: Simplify right side
    199,295,577.40x = 59,578,090,756,799,096
  5. Step 5: Solve for x
    x = 59,578,090,756,799,096/199,295,577.40
  6. Step 6: Final answer
    x = 298,943,366.10

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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.