Finding the Fourth Proportional to 107,878,249,945.36, 148,872,303,431.94 and 59,709,638,761.84
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Solution
The fourth proportional to 107,878,249,945.36, 148,872,303,431.94 and 59,709,638,761.84 is: 82,399,477,782.28
Step by Step Solution
- Step 1: Write the proportion equation
107,878,249,945.36 : 148,872,303,431.94 = 59,709,638,761.84 : x - Step 2: Convert to fraction form
107,878,249,945.36/148,872,303,431.94 = 59,709,638,761.84/x - Step 3: Cross multiply
107,878,249,945.36x = 148,872,303,431.94 × 59,709,638,761.84 - Step 4: Simplify right side
107,878,249,945.36x = 8,889,111,459,564,169,986,048 - Step 5: Solve for x
x = 8,889,111,459,564,169,986,048/107,878,249,945.36 - Step 6: Final answer
x = 82,399,477,782.28
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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.