Finding the Fourth Proportional to 4,842,875,177,736, 7,264,319,758,062.50 and 1,977,690,966,463.40
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Solution
The fourth proportional to 4,842,875,177,736, 7,264,319,758,062.50 and 1,977,690,966,463.40 is: 2,966,539,304,805.71
Step by Step Solution
- Step 1: Write the proportion equation
4,842,875,177,736 : 7,264,319,758,062.50 = 1,977,690,966,463.40 : x - Step 2: Convert to fraction form
4,842,875,177,736/7,264,319,758,062.50 = 1,977,690,966,463.40/x - Step 3: Cross multiply
4,842,875,177,736x = 7,264,319,758,062.50 × 1,977,690,966,463.40 - Step 4: Simplify right side
4,842,875,177,736x = 14,366,579,563,021,796,716,314,624 - Step 5: Solve for x
x = 14,366,579,563,021,796,716,314,624/4,842,875,177,736 - Step 6: Final answer
x = 2,966,539,304,805.71
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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.