Finding the Fourth Proportional to 401,266,936,306.48, 553,748,462,492.16 and 220,825,843,553.92
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Solution
The fourth proportional to 401,266,936,306.48, 553,748,462,492.16 and 220,825,843,553.92 is: 304,739,713,847.54
Step by Step Solution
- Step 1: Write the proportion equation
401,266,936,306.48 : 553,748,462,492.16 = 220,825,843,553.92 : x - Step 2: Convert to fraction form
401,266,936,306.48/553,748,462,492.16 = 220,825,843,553.92/x - Step 3: Cross multiply
401,266,936,306.48x = 553,748,462,492.16 × 220,825,843,553.92 - Step 4: Simplify right side
401,266,936,306.48x = 122,281,971,346,517,476,245,504 - Step 5: Solve for x
x = 122,281,971,346,517,476,245,504/401,266,936,306.48 - Step 6: Final answer
x = 304,739,713,847.54
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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.