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Finding the Fourth Proportional to 84,960,649,675.05, 127,196,086,499.78 and 84,960,649,675.05

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Solution

The fourth proportional to 84,960,649,675.05, 127,196,086,499.78 and 84,960,649,675.05 is: 127,196,086,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,960,649,675.05 : 127,196,086,499.78 = 84,960,649,675.05 : x
  2. Step 2: Convert to fraction form
    84,960,649,675.05/127,196,086,499.78 = 84,960,649,675.05/x
  3. Step 3: Cross multiply
    84,960,649,675.05x = 127,196,086,499.78 × 84,960,649,675.05
  4. Step 4: Simplify right side
    84,960,649,675.05x = 10,806,662,145,145,166,626,816
  5. Step 5: Solve for x
    x = 10,806,662,145,145,166,626,816/84,960,649,675.05
  6. Step 6: Final answer
    x = 127,196,086,499.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.