Finding the Fourth Proportional to 1,614,882,748,371.10, 2,228,054,380,689.80 and 929,752,858,804.08
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Solution
The fourth proportional to 1,614,882,748,371.10, 2,228,054,380,689.80 and 929,752,858,804.08 is: 1,282,780,395,113.40
Step by Step Solution
- Step 1: Write the proportion equation
1,614,882,748,371.10 : 2,228,054,380,689.80 = 929,752,858,804.08 : x - Step 2: Convert to fraction form
1,614,882,748,371.10/2,228,054,380,689.80 = 929,752,858,804.08/x - Step 3: Cross multiply
1,614,882,748,371.10x = 2,228,054,380,689.80 × 929,752,858,804.08 - Step 4: Simplify right side
1,614,882,748,371.10x = 2,071,539,930,017,295,144,845,312 - Step 5: Solve for x
x = 2,071,539,930,017,295,144,845,312/1,614,882,748,371.10 - Step 6: Final answer
x = 1,282,780,395,113.40
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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.