Finding the Fourth Proportional to 99,883,069,606.08, 149,817,068,944.79 and 31,811,381,077.47
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Solution
The fourth proportional to 99,883,069,606.08, 149,817,068,944.79 and 31,811,381,077.47 is: 47,714,671,674.68
Step by Step Solution
- Step 1: Write the proportion equation
99,883,069,606.08 : 149,817,068,944.79 = 31,811,381,077.47 : x - Step 2: Convert to fraction form
99,883,069,606.08/149,817,068,944.79 = 31,811,381,077.47/x - Step 3: Cross multiply
99,883,069,606.08x = 149,817,068,944.79 × 31,811,381,077.47 - Step 4: Simplify right side
99,883,069,606.08x = 4,765,887,872,112,760,193,024 - Step 5: Solve for x
x = 4,765,887,872,112,760,193,024/99,883,069,606.08 - Step 6: Final answer
x = 47,714,671,674.68
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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.