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Finding the Fourth Proportional to 72,130,190,977.20, 100,775,876,154 and 72,130,190,977.20

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Solution

The fourth proportional to 72,130,190,977.20, 100,775,876,154 and 72,130,190,977.20 is: 100,775,876,154

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,130,190,977.20 : 100,775,876,154 = 72,130,190,977.20 : x
  2. Step 2: Convert to fraction form
    72,130,190,977.20/100,775,876,154 = 72,130,190,977.20/x
  3. Step 3: Cross multiply
    72,130,190,977.20x = 100,775,876,154 × 72,130,190,977.20
  4. Step 4: Simplify right side
    72,130,190,977.20x = 7,268,983,192,882,675,449,856
  5. Step 5: Solve for x
    x = 7,268,983,192,882,675,449,856/72,130,190,977.20
  6. Step 6: Final answer
    x = 100,775,876,154

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.