Finding the Fourth Proportional to 728,698,653,699.80, 1,005,635,752,528.20 and 403,537,945,511.70
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Solution
The fourth proportional to 728,698,653,699.80, 1,005,635,752,528.20 and 403,537,945,511.70 is: 556,899,869,991.42
Step by Step Solution
- Step 1: Write the proportion equation
728,698,653,699.80 : 1,005,635,752,528.20 = 403,537,945,511.70 : x - Step 2: Convert to fraction form
728,698,653,699.80/1,005,635,752,528.20 = 403,537,945,511.70/x - Step 3: Cross multiply
728,698,653,699.80x = 1,005,635,752,528.20 × 403,537,945,511.70 - Step 4: Simplify right side
728,698,653,699.80x = 405,812,185,508,342,199,746,560 - Step 5: Solve for x
x = 405,812,185,508,342,199,746,560/728,698,653,699.80 - Step 6: Final answer
x = 556,899,869,991.42
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1.5x scale
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.