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Finding the Fourth Proportional to 10,762,972,823.10, 16,144,459,234.65 and 10,762,972,823.10

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Solution

The fourth proportional to 10,762,972,823.10, 16,144,459,234.65 and 10,762,972,823.10 is: 16,144,459,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762,972,823.10 : 16,144,459,234.65 = 10,762,972,823.10 : x
  2. Step 2: Convert to fraction form
    10,762,972,823.10/16,144,459,234.65 = 10,762,972,823.10/x
  3. Step 3: Cross multiply
    10,762,972,823.10x = 16,144,459,234.65 × 10,762,972,823.10
  4. Step 4: Simplify right side
    10,762,972,823.10x = 173,762,375,986,183,766,016
  5. Step 5: Solve for x
    x = 173,762,375,986,183,766,016/10,762,972,823.10
  6. Step 6: Final answer
    x = 16,144,459,234.65

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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.