Finding the Fourth Proportional to 298,240,933,365.92, 411,572,472,304.92 and 161,063,746,394.96
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Solution
The fourth proportional to 298,240,933,365.92, 411,572,472,304.92 and 161,063,746,394.96 is: 222,267,961,524.70
Step by Step Solution
- Step 1: Write the proportion equation
298,240,933,365.92 : 411,572,472,304.92 = 161,063,746,394.96 : x - Step 2: Convert to fraction form
298,240,933,365.92/411,572,472,304.92 = 161,063,746,394.96/x - Step 3: Cross multiply
298,240,933,365.92x = 411,572,472,304.92 × 161,063,746,394.96 - Step 4: Simplify right side
298,240,933,365.92x = 66,289,404,302,466,329,083,904 - Step 5: Solve for x
x = 66,289,404,302,466,329,083,904/298,240,933,365.92 - Step 6: Final answer
x = 222,267,961,524.70
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.