Finding the Fourth Proportional to 1,645,440,239,326.40, 2,270,712,836,166.90 and 913,828,645,903.75
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Solution
The fourth proportional to 1,645,440,239,326.40, 2,270,712,836,166.90 and 913,828,645,903.75 is: 1,261,086,478,084.51
Step by Step Solution
- Step 1: Write the proportion equation
1,645,440,239,326.40 : 2,270,712,836,166.90 = 913,828,645,903.75 : x - Step 2: Convert to fraction form
1,645,440,239,326.40/2,270,712,836,166.90 = 913,828,645,903.75/x - Step 3: Cross multiply
1,645,440,239,326.40x = 2,270,712,836,166.90 × 913,828,645,903.75 - Step 4: Simplify right side
1,645,440,239,326.40x = 2,075,042,436,310,661,907,611,648 - Step 5: Solve for x
x = 2,075,042,436,310,661,907,611,648/1,645,440,239,326.40 - Step 6: Final answer
x = 1,261,086,478,084.51
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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.