Finding the Fourth Proportional to 65,220,101,130,848, 90,005,649,309,896 and 35,591,740,742,294
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Solution
The fourth proportional to 65,220,101,130,848, 90,005,649,309,896 and 35,591,740,742,294 is: 49,117,644,407,706.54
Step by Step Solution
- Step 1: Write the proportion equation
65,220,101,130,848 : 90,005,649,309,896 = 35,591,740,742,294 : x - Step 2: Convert to fraction form
65,220,101,130,848/90,005,649,309,896 = 35,591,740,742,294/x - Step 3: Cross multiply
65,220,101,130,848x = 90,005,649,309,896 × 35,591,740,742,294 - Step 4: Simplify right side
65,220,101,130,848x = 3,203,457,735,579,651,340,050,104,320 - Step 5: Solve for x
x = 3,203,457,735,579,651,340,050,104,320/65,220,101,130,848 - Step 6: Final answer
x = 49,117,644,407,706.54
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.