Finding the Fourth Proportional to 4,324,854,602,718.30, 5,968,305,261,962.40 and 2,347,272,862,209.60
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Solution
The fourth proportional to 4,324,854,602,718.30, 5,968,305,261,962.40 and 2,347,272,862,209.60 is: 3,239,239,757,558.99
Step by Step Solution
- Step 1: Write the proportion equation
4,324,854,602,718.30 : 5,968,305,261,962.40 = 2,347,272,862,209.60 : x - Step 2: Convert to fraction form
4,324,854,602,718.30/5,968,305,261,962.40 = 2,347,272,862,209.60/x - Step 3: Cross multiply
4,324,854,602,718.30x = 5,968,305,261,962.40 × 2,347,272,862,209.60 - Step 4: Simplify right side
4,324,854,602,718.30x = 14,009,240,974,787,100,092,137,472 - Step 5: Solve for x
x = 14,009,240,974,787,100,092,137,472/4,324,854,602,718.30 - Step 6: Final answer
x = 3,239,239,757,558.99
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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.