Finding the Fourth Proportional to 4,842,875,177,708, 7,264,319,758,020.60 and 1,977,690,966,435.40
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Solution
The fourth proportional to 4,842,875,177,708, 7,264,319,758,020.60 and 1,977,690,966,435.40 is: 2,966,539,304,763.75
Step by Step Solution
- Step 1: Write the proportion equation
4,842,875,177,708 : 7,264,319,758,020.60 = 1,977,690,966,435.40 : x - Step 2: Convert to fraction form
4,842,875,177,708/7,264,319,758,020.60 = 1,977,690,966,435.40/x - Step 3: Cross multiply
4,842,875,177,708x = 7,264,319,758,020.60 × 1,977,690,966,435.40 - Step 4: Simplify right side
4,842,875,177,708x = 14,366,579,562,735,530,703,585,280 - Step 5: Solve for x
x = 14,366,579,562,735,530,703,585,280/4,842,875,177,708 - Step 6: Final answer
x = 2,966,539,304,763.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.