Finding the Fourth Proportional to 13,730,574,549,287, 18,935,465,153,400 and 10,020,914,889,375
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Solution
The fourth proportional to 13,730,574,549,287, 18,935,465,153,400 and 10,020,914,889,375 is: 13,819,573,537,277.86
Step by Step Solution
- Step 1: Write the proportion equation
13,730,574,549,287 : 18,935,465,153,400 = 10,020,914,889,375 : x - Step 2: Convert to fraction form
13,730,574,549,287/18,935,465,153,400 = 10,020,914,889,375/x - Step 3: Cross multiply
13,730,574,549,287x = 18,935,465,153,400 × 10,020,914,889,375 - Step 4: Simplify right side
13,730,574,549,287x = 189,750,684,692,947,526,735,626,240 - Step 5: Solve for x
x = 189,750,684,692,947,526,735,626,240/13,730,574,549,287 - Step 6: Final answer
x = 13,819,573,537,277.86
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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.