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Finding the Fourth Proportional to 72,130,190,969.70, 100,775,876,143.50 and 72,130,190,969.70

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Solution

The fourth proportional to 72,130,190,969.70, 100,775,876,143.50 and 72,130,190,969.70 is: 100,775,876,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,130,190,969.70 : 100,775,876,143.50 = 72,130,190,969.70 : x
  2. Step 2: Convert to fraction form
    72,130,190,969.70/100,775,876,143.50 = 72,130,190,969.70/x
  3. Step 3: Cross multiply
    72,130,190,969.70x = 100,775,876,143.50 × 72,130,190,969.70
  4. Step 4: Simplify right side
    72,130,190,969.70x = 7,268,983,191,369,489,055,744
  5. Step 5: Solve for x
    x = 7,268,983,191,369,489,055,744/72,130,190,969.70
  6. Step 6: Final answer
    x = 100,775,876,143.50

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