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Finding the Fourth Proportional to 105,830,514.30, 158,745,771.45 and 105,830,514.30

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Solution

The fourth proportional to 105,830,514.30, 158,745,771.45 and 105,830,514.30 is: 158,745,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,830,514.30 : 158,745,771.45 = 105,830,514.30 : x
  2. Step 2: Convert to fraction form
    105,830,514.30/158,745,771.45 = 105,830,514.30/x
  3. Step 3: Cross multiply
    105,830,514.30x = 158,745,771.45 × 105,830,514.30
  4. Step 4: Simplify right side
    105,830,514.30x = 16,800,146,635,503,756
  5. Step 5: Solve for x
    x = 16,800,146,635,503,756/105,830,514.30
  6. Step 6: Final answer
    x = 158,745,771.45

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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.