Finding the Fourth Proportional to 2,541,201,416.79, 3,506,943,013.82 and 1,412,218,764.33
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Solution
The fourth proportional to 2,541,201,416.79, 3,506,943,013.82 and 1,412,218,764.33 is: 1,948,909,164.32
Step by Step Solution
- Step 1: Write the proportion equation
2,541,201,416.79 : 3,506,943,013.82 = 1,412,218,764.33 : x - Step 2: Convert to fraction form
2,541,201,416.79/3,506,943,013.82 = 1,412,218,764.33/x - Step 3: Cross multiply
2,541,201,416.79x = 3,506,943,013.82 × 1,412,218,764.33 - Step 4: Simplify right side
2,541,201,416.79x = 4,952,570,729,552,606,208 - Step 5: Solve for x
x = 4,952,570,729,552,606,208/2,541,201,416.79 - Step 6: Final answer
x = 1,948,909,164.32
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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.