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Finding the Fourth Proportional to 279,762,403.10, 419,643,604.65 and 279,762,403.10

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Solution

The fourth proportional to 279,762,403.10, 419,643,604.65 and 279,762,403.10 is: 419,643,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,762,403.10 : 419,643,604.65 = 279,762,403.10 : x
  2. Step 2: Convert to fraction form
    279,762,403.10/419,643,604.65 = 279,762,403.10/x
  3. Step 3: Cross multiply
    279,762,403.10x = 419,643,604.65 × 279,762,403.10
  4. Step 4: Simplify right side
    279,762,403.10x = 117,400,503,282,430,336
  5. Step 5: Solve for x
    x = 117,400,503,282,430,336/279,762,403.10
  6. Step 6: Final answer
    x = 419,643,604.65

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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.