Finding the Fourth Proportional to 13,730,574,549,284, 18,935,465,153,397 and 10,020,914,889,372
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Solution
The fourth proportional to 13,730,574,549,284, 18,935,465,153,397 and 10,020,914,889,372 is: 13,819,573,537,274.55
Step by Step Solution
- Step 1: Write the proportion equation
13,730,574,549,284 : 18,935,465,153,397 = 10,020,914,889,372 : x - Step 2: Convert to fraction form
13,730,574,549,284/18,935,465,153,397 = 10,020,914,889,372/x - Step 3: Cross multiply
13,730,574,549,284x = 18,935,465,153,397 × 10,020,914,889,372 - Step 4: Simplify right side
13,730,574,549,284x = 189,750,684,692,860,665,317,031,936 - Step 5: Solve for x
x = 189,750,684,692,860,665,317,031,936/13,730,574,549,284 - Step 6: Final answer
x = 13,819,573,537,274.55
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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.