Finding the Fourth Proportional to 3,242,248,236,024.30, 4,863,351,287,992.50 and 824,728,403,569.25
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Solution
The fourth proportional to 3,242,248,236,024.30, 4,863,351,287,992.50 and 824,728,403,569.25 is: 1,237,087,246,799.09
Step by Step Solution
- Step 1: Write the proportion equation
3,242,248,236,024.30 : 4,863,351,287,992.50 = 824,728,403,569.25 : x - Step 2: Convert to fraction form
3,242,248,236,024.30/4,863,351,287,992.50 = 824,728,403,569.25/x - Step 3: Cross multiply
3,242,248,236,024.30x = 4,863,351,287,992.50 × 824,728,403,569.25 - Step 4: Simplify right side
3,242,248,236,024.30x = 4,010,943,943,742,510,073,905,152 - Step 5: Solve for x
x = 4,010,943,943,742,510,073,905,152/3,242,248,236,024.30 - Step 6: Final answer
x = 1,237,087,246,799.09
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.