Finding the Fourth Proportional to 760,537,739,443.35, 1,049,567,250,646.70 and 417,993,744,063.99
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Solution
The fourth proportional to 760,537,739,443.35, 1,049,567,250,646.70 and 417,993,744,063.99 is: 576,845,200,431.29
Step by Step Solution
- Step 1: Write the proportion equation
760,537,739,443.35 : 1,049,567,250,646.70 = 417,993,744,063.99 : x - Step 2: Convert to fraction form
760,537,739,443.35/1,049,567,250,646.70 = 417,993,744,063.99/x - Step 3: Cross multiply
760,537,739,443.35x = 1,049,567,250,646.70 × 417,993,744,063.99 - Step 4: Simplify right side
760,537,739,443.35x = 438,712,544,744,762,333,200,384 - Step 5: Solve for x
x = 438,712,544,744,762,333,200,384/760,537,739,443.35 - Step 6: Final answer
x = 576,845,200,431.29
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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.