Finding the Fourth Proportional to 99,681,434,178.32, 149,522,534,651.76 and 24,134,459,001.92
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Solution
The fourth proportional to 99,681,434,178.32, 149,522,534,651.76 and 24,134,459,001.92 is: 36,201,781,326.31
Step by Step Solution
- Step 1: Write the proportion equation
99,681,434,178.32 : 149,522,534,651.76 = 24,134,459,001.92 : x - Step 2: Convert to fraction form
99,681,434,178.32/149,522,534,651.76 = 24,134,459,001.92/x - Step 3: Cross multiply
99,681,434,178.32x = 149,522,534,651.76 × 24,134,459,001.92 - Step 4: Simplify right side
99,681,434,178.32x = 3,608,645,482,416,064,430,080 - Step 5: Solve for x
x = 3,608,645,482,416,064,430,080/99,681,434,178.32 - Step 6: Final answer
x = 36,201,781,326.31
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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.