Finding the Fourth Proportional to 2,547,281,159,207.10, 3,821,458,437,699.70 and 826,095,289,969.17
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Solution
The fourth proportional to 2,547,281,159,207.10, 3,821,458,437,699.70 and 826,095,289,969.17 is: 1,239,316,988,933.93
Step by Step Solution
- Step 1: Write the proportion equation
2,547,281,159,207.10 : 3,821,458,437,699.70 = 826,095,289,969.17 : x - Step 2: Convert to fraction form
2,547,281,159,207.10/3,821,458,437,699.70 = 826,095,289,969.17/x - Step 3: Cross multiply
2,547,281,159,207.10x = 3,821,458,437,699.70 × 826,095,289,969.17 - Step 4: Simplify right side
2,547,281,159,207.10x = 3,156,888,816,196,665,342,951,424 - Step 5: Solve for x
x = 3,156,888,816,196,665,342,951,424/2,547,281,159,207.10 - Step 6: Final answer
x = 1,239,316,988,933.93
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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.