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Finding the Fourth Proportional to 5,280,406,524,009.80, 7,920,609,786,014.80 and 5,280,406,524,009.80

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Solution

The fourth proportional to 5,280,406,524,009.80, 7,920,609,786,014.80 and 5,280,406,524,009.80 is: 7,920,609,786,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,406,524,009.80 : 7,920,609,786,014.80 = 5,280,406,524,009.80 : x
  2. Step 2: Convert to fraction form
    5,280,406,524,009.80/7,920,609,786,014.80 = 5,280,406,524,009.80/x
  3. Step 3: Cross multiply
    5,280,406,524,009.80x = 7,920,609,786,014.80 × 5,280,406,524,009.80
  4. Step 4: Simplify right side
    5,280,406,524,009.80x = 41,824,039,588,208,416,170,967,040
  5. Step 5: Solve for x
    x = 41,824,039,588,208,416,170,967,040/5,280,406,524,009.80
  6. Step 6: Final answer
    x = 7,920,609,786,014.80

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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.