Finding the Fourth Proportional to 65,220,101,130,852, 90,005,649,309,900 and 35,591,740,742,298
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Solution
The fourth proportional to 65,220,101,130,852, 90,005,649,309,900 and 35,591,740,742,298 is: 49,117,644,407,711.23
Step by Step Solution
- Step 1: Write the proportion equation
65,220,101,130,852 : 90,005,649,309,900 = 35,591,740,742,298 : x - Step 2: Convert to fraction form
65,220,101,130,852/90,005,649,309,900 = 35,591,740,742,298/x - Step 3: Cross multiply
65,220,101,130,852x = 90,005,649,309,900 × 35,591,740,742,298 - Step 4: Simplify right side
65,220,101,130,852x = 3,203,457,735,580,153,816,863,997,952 - Step 5: Solve for x
x = 3,203,457,735,580,153,816,863,997,952/65,220,101,130,852 - Step 6: Final answer
x = 49,117,644,407,711.23
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.