Finding the Fourth Proportional to 25,828,667,617,998, 38,743,038,714,780 and 10,547,685,157,877
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Solution
The fourth proportional to 25,828,667,617,998, 38,743,038,714,780 and 10,547,685,157,877 is: 15,821,542,964,073.88
Step by Step Solution
- Step 1: Write the proportion equation
25,828,667,617,998 : 38,743,038,714,780 = 10,547,685,157,877 : x - Step 2: Convert to fraction form
25,828,667,617,998/38,743,038,714,780 = 10,547,685,157,877/x - Step 3: Cross multiply
25,828,667,617,998x = 38,743,038,714,780 × 10,547,685,157,877 - Step 4: Simplify right side
25,828,667,617,998x = 408,649,374,422,939,033,816,530,944 - Step 5: Solve for x
x = 408,649,374,422,939,033,816,530,944/25,828,667,617,998 - Step 6: Final answer
x = 15,821,542,964,073.88
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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.