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Finding the Fourth Proportional to 100,100,234.70, 140,341,882.50 and 100,100,234.70

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Solution

The fourth proportional to 100,100,234.70, 140,341,882.50 and 100,100,234.70 is: 140,341,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100,234.70 : 140,341,882.50 = 100,100,234.70 : x
  2. Step 2: Convert to fraction form
    100,100,234.70/140,341,882.50 = 100,100,234.70/x
  3. Step 3: Cross multiply
    100,100,234.70x = 140,341,882.50 × 100,100,234.70
  4. Step 4: Simplify right side
    100,100,234.70x = 14,048,255,376,489,824
  5. Step 5: Solve for x
    x = 14,048,255,376,489,824/100,100,234.70
  6. Step 6: Final answer
    x = 140,341,882.50

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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.