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Finding the Fourth Proportional to 86,921,300,540.80, 130,381,950,811.20 and 86,921,300,540.80

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Solution

The fourth proportional to 86,921,300,540.80, 130,381,950,811.20 and 86,921,300,540.80 is: 130,381,950,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,921,300,540.80 : 130,381,950,811.20 = 86,921,300,540.80 : x
  2. Step 2: Convert to fraction form
    86,921,300,540.80/130,381,950,811.20 = 86,921,300,540.80/x
  3. Step 3: Cross multiply
    86,921,300,540.80x = 130,381,950,811.20 × 86,921,300,540.80
  4. Step 4: Simplify right side
    86,921,300,540.80x = 11,332,968,731,556,116,955,136
  5. Step 5: Solve for x
    x = 11,332,968,731,556,116,955,136/86,921,300,540.80
  6. Step 6: Final answer
    x = 130,381,950,811.20

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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.