Finding the Fourth Proportional to 924,876,472,274.98, 1,276,226,017,389.50 and 513,362,295,508
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Solution
The fourth proportional to 924,876,472,274.98, 1,276,226,017,389.50 and 513,362,295,508 is: 708,382,511,085.56
Step by Step Solution
- Step 1: Write the proportion equation
924,876,472,274.98 : 1,276,226,017,389.50 = 513,362,295,508 : x - Step 2: Convert to fraction form
924,876,472,274.98/1,276,226,017,389.50 = 513,362,295,508/x - Step 3: Cross multiply
924,876,472,274.98x = 1,276,226,017,389.50 × 513,362,295,508 - Step 4: Simplify right side
924,876,472,274.98x = 655,166,317,874,106,509,295,616 - Step 5: Solve for x
x = 655,166,317,874,106,509,295,616/924,876,472,274.98 - Step 6: Final answer
x = 708,382,511,085.56
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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.