Finding the Fourth Proportional to 99,852,227,238.18, 149,829,835,534.48 and 46,798,650,240.92
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Solution
The fourth proportional to 99,852,227,238.18, 149,829,835,534.48 and 46,798,650,240.92 is: 70,222,109,839.45
Step by Step Solution
- Step 1: Write the proportion equation
99,852,227,238.18 : 149,829,835,534.48 = 46,798,650,240.92 : x - Step 2: Convert to fraction form
99,852,227,238.18/149,829,835,534.48 = 46,798,650,240.92/x - Step 3: Cross multiply
99,852,227,238.18x = 149,829,835,534.48 × 46,798,650,240.92 - Step 4: Simplify right side
99,852,227,238.18x = 7,011,834,068,832,697,188,352 - Step 5: Solve for x
x = 7,011,834,068,832,697,188,352/99,852,227,238.18 - Step 6: Final answer
x = 70,222,109,839.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.