Finding the Fourth Proportional to 1,478,662,288,430.80, 2,040,552,410,432.80 and 828,345,449,733.23
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Solution
The fourth proportional to 1,478,662,288,430.80, 2,040,552,410,432.80 and 828,345,449,733.23 is: 1,143,115,853,666.60
Step by Step Solution
- Step 1: Write the proportion equation
1,478,662,288,430.80 : 2,040,552,410,432.80 = 828,345,449,733.23 : x - Step 2: Convert to fraction form
1,478,662,288,430.80/2,040,552,410,432.80 = 828,345,449,733.23/x - Step 3: Cross multiply
1,478,662,288,430.80x = 2,040,552,410,432.80 × 828,345,449,733.23 - Step 4: Simplify right side
1,478,662,288,430.80x = 1,690,282,304,124,184,212,537,344 - Step 5: Solve for x
x = 1,690,282,304,124,184,212,537,344/1,478,662,288,430.80 - Step 6: Final answer
x = 1,143,115,853,666.60
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.