Finding the Fourth Proportional to 31,140,050,024,112, 42,969,319,301,160 and 17,073,544,747,254
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Solution
The fourth proportional to 31,140,050,024,112, 42,969,319,301,160 and 17,073,544,747,254 is: 23,559,326,182,178.18
Step by Step Solution
- Step 1: Write the proportion equation
31,140,050,024,112 : 42,969,319,301,160 = 17,073,544,747,254 : x - Step 2: Convert to fraction form
31,140,050,024,112/42,969,319,301,160 = 17,073,544,747,254/x - Step 3: Cross multiply
31,140,050,024,112x = 42,969,319,301,160 × 17,073,544,747,254 - Step 4: Simplify right side
31,140,050,024,112x = 733,638,595,847,400,256,425,689,088 - Step 5: Solve for x
x = 733,638,595,847,400,256,425,689,088/31,140,050,024,112 - Step 6: Final answer
x = 23,559,326,182,178.18
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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.