Finding the Fourth Proportional to 1,582,915,746.51, 2,371,952,326.39 and 846,090,514.71
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Solution
The fourth proportional to 1,582,915,746.51, 2,371,952,326.39 and 846,090,514.71 is: 1,267,841,557.03
Step by Step Solution
- Step 1: Write the proportion equation
1,582,915,746.51 : 2,371,952,326.39 = 846,090,514.71 : x - Step 2: Convert to fraction form
1,582,915,746.51/2,371,952,326.39 = 846,090,514.71/x - Step 3: Cross multiply
1,582,915,746.51x = 2,371,952,326.39 × 846,090,514.71 - Step 4: Simplify right side
1,582,915,746.51x = 2,006,886,364,700,697,344 - Step 5: Solve for x
x = 2,006,886,364,700,697,344/1,582,915,746.51 - Step 6: Final answer
x = 1,267,841,557.03
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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.