Finding the Fourth Proportional to 963,900,241,748.75, 1,444,261,685,851.80 and 559,849,486,120.65
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Solution
The fourth proportional to 963,900,241,748.75, 1,444,261,685,851.80 and 559,849,486,120.65 is: 838,851,498,969.37
Step by Step Solution
- Step 1: Write the proportion equation
963,900,241,748.75 : 1,444,261,685,851.80 = 559,849,486,120.65 : x - Step 2: Convert to fraction form
963,900,241,748.75/1,444,261,685,851.80 = 559,849,486,120.65/x - Step 3: Cross multiply
963,900,241,748.75x = 1,444,261,685,851.80 × 559,849,486,120.65 - Step 4: Simplify right side
963,900,241,748.75x = 808,569,162,647,873,874,034,688 - Step 5: Solve for x
x = 808,569,162,647,873,874,034,688/963,900,241,748.75 - Step 6: Final answer
x = 838,851,498,969.37
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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.