Finding the Fourth Proportional to 25,828,667,614,592, 38,743,038,709,665 and 10,547,685,154,471
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Solution
The fourth proportional to 25,828,667,614,592, 38,743,038,709,665 and 10,547,685,154,471 is: 15,821,542,958,962.42
Step by Step Solution
- Step 1: Write the proportion equation
25,828,667,614,592 : 38,743,038,709,665 = 10,547,685,154,471 : x - Step 2: Convert to fraction form
25,828,667,614,592/38,743,038,709,665 = 10,547,685,154,471/x - Step 3: Cross multiply
25,828,667,614,592x = 38,743,038,709,665 × 10,547,685,154,471 - Step 4: Simplify right side
25,828,667,614,592x = 408,649,374,237,028,797,428,793,344 - Step 5: Solve for x
x = 408,649,374,237,028,797,428,793,344/25,828,667,614,592 - Step 6: Final answer
x = 15,821,542,958,962.42
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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.