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Finding the Fourth Proportional to 189,365,514.23, 264,466,019.10 and 189,365,514.23

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Solution

The fourth proportional to 189,365,514.23, 264,466,019.10 and 189,365,514.23 is: 264,466,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,365,514.23 : 264,466,019.10 = 189,365,514.23 : x
  2. Step 2: Convert to fraction form
    189,365,514.23/264,466,019.10 = 189,365,514.23/x
  3. Step 3: Cross multiply
    189,365,514.23x = 264,466,019.10 × 189,365,514.23
  4. Step 4: Simplify right side
    189,365,514.23x = 50,080,743,701,910,168
  5. Step 5: Solve for x
    x = 50,080,743,701,910,168/189,365,514.23
  6. Step 6: Final answer
    x = 264,466,019.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.