Finding the Fourth Proportional to 4,842,875,178,295, 7,264,319,758,898.20 and 1,977,690,967,019.10
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Solution
The fourth proportional to 4,842,875,178,295, 7,264,319,758,898.20 and 1,977,690,967,019.10 is: 2,966,539,305,638.12
Step by Step Solution
- Step 1: Write the proportion equation
4,842,875,178,295 : 7,264,319,758,898.20 = 1,977,690,967,019.10 : x - Step 2: Convert to fraction form
4,842,875,178,295/7,264,319,758,898.20 = 1,977,690,967,019.10/x - Step 3: Cross multiply
4,842,875,178,295x = 7,264,319,758,898.20 × 1,977,690,967,019.10 - Step 4: Simplify right side
4,842,875,178,295x = 14,366,579,568,711,337,745,842,176 - Step 5: Solve for x
x = 14,366,579,568,711,337,745,842,176/4,842,875,178,295 - Step 6: Final answer
x = 2,966,539,305,638.12
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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.