Finding the Fourth Proportional to 7,748,426,251,402.10, 10,693,153,077,474 and 4,456,176,651,742.80
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Solution
The fourth proportional to 7,748,426,251,402.10, 10,693,153,077,474 and 4,456,176,651,742.80 is: 6,149,710,603,327.84
Step by Step Solution
- Step 1: Write the proportion equation
7,748,426,251,402.10 : 10,693,153,077,474 = 4,456,176,651,742.80 : x - Step 2: Convert to fraction form
7,748,426,251,402.10/10,693,153,077,474 = 4,456,176,651,742.80/x - Step 3: Cross multiply
7,748,426,251,402.10x = 10,693,153,077,474 × 4,456,176,651,742.80 - Step 4: Simplify right side
7,748,426,251,402.10x = 47,650,579,077,351,306,982,064,128 - Step 5: Solve for x
x = 47,650,579,077,351,306,982,064,128/7,748,426,251,402.10 - Step 6: Final answer
x = 6,149,710,603,327.84
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1.5x scale
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.