Finding the Fourth Proportional to 1,541,827,914,438.10, 2,127,773,549,162.40 and 847,393,086,830.55
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Solution
The fourth proportional to 1,541,827,914,438.10, 2,127,773,549,162.40 and 847,393,086,830.55 is: 1,169,430,504,543.84
Step by Step Solution
- Step 1: Write the proportion equation
1,541,827,914,438.10 : 2,127,773,549,162.40 = 847,393,086,830.55 : x - Step 2: Convert to fraction form
1,541,827,914,438.10/2,127,773,549,162.40 = 847,393,086,830.55/x - Step 3: Cross multiply
1,541,827,914,438.10x = 2,127,773,549,162.40 × 847,393,086,830.55 - Step 4: Simplify right side
1,541,827,914,438.10x = 1,803,060,595,901,121,087,668,224 - Step 5: Solve for x
x = 1,803,060,595,901,121,087,668,224/1,541,827,914,438.10 - Step 6: Final answer
x = 1,169,430,504,543.84
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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.