Finding the Fourth Proportional to 137,503,308,660.24, 189,754,575,076.06 and 76,534,367,450.70
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Solution
The fourth proportional to 137,503,308,660.24, 189,754,575,076.06 and 76,534,367,450.70 is: 105,617,432,160.90
Step by Step Solution
- Step 1: Write the proportion equation
137,503,308,660.24 : 189,754,575,076.06 = 76,534,367,450.70 : x - Step 2: Convert to fraction form
137,503,308,660.24/189,754,575,076.06 = 76,534,367,450.70/x - Step 3: Cross multiply
137,503,308,660.24x = 189,754,575,076.06 × 76,534,367,450.70 - Step 4: Simplify right side
137,503,308,660.24x = 14,522,746,374,322,615,484,416 - Step 5: Solve for x
x = 14,522,746,374,322,615,484,416/137,503,308,660.24 - Step 6: Final answer
x = 105,617,432,160.90
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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.