Finding the Fourth Proportional to 441,464,698,563.93, 662,197,047,102.96 and 106,079,623,992.75
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Solution
The fourth proportional to 441,464,698,563.93, 662,197,047,102.96 and 106,079,623,992.75 is: 159,119,435,810.61
Step by Step Solution
- Step 1: Write the proportion equation
441,464,698,563.93 : 662,197,047,102.96 = 106,079,623,992.75 : x - Step 2: Convert to fraction form
441,464,698,563.93/662,197,047,102.96 = 106,079,623,992.75/x - Step 3: Cross multiply
441,464,698,563.93x = 662,197,047,102.96 × 106,079,623,992.75 - Step 4: Simplify right side
441,464,698,563.93x = 70,245,613,765,791,355,764,736 - Step 5: Solve for x
x = 70,245,613,765,791,355,764,736/441,464,698,563.93 - Step 6: Final answer
x = 159,119,435,810.61
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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.