Finding the Fourth Proportional to 924,876,472,273.98, 1,276,226,017,388.10 and 513,362,295,507
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Solution
The fourth proportional to 924,876,472,273.98, 1,276,226,017,388.10 and 513,362,295,507 is: 708,382,511,084.17
Step by Step Solution
- Step 1: Write the proportion equation
924,876,472,273.98 : 1,276,226,017,388.10 = 513,362,295,507 : x - Step 2: Convert to fraction form
924,876,472,273.98/1,276,226,017,388.10 = 513,362,295,507/x - Step 3: Cross multiply
924,876,472,273.98x = 1,276,226,017,388.10 × 513,362,295,507 - Step 4: Simplify right side
924,876,472,273.98x = 655,166,317,872,111,496,986,624 - Step 5: Solve for x
x = 655,166,317,872,111,496,986,624/924,876,472,273.98 - Step 6: Final answer
x = 708,382,511,084.17
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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.