Finding the Fourth Proportional to 9,697,600,611,138.60, 14,546,438,655,980 and 2,346,143,536,343.80
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Solution
The fourth proportional to 9,697,600,611,138.60, 14,546,438,655,980 and 2,346,143,536,343.80 is: 3,519,224,434,789.55
Step by Step Solution
- Step 1: Write the proportion equation
9,697,600,611,138.60 : 14,546,438,655,980 = 2,346,143,536,343.80 : x - Step 2: Convert to fraction form
9,697,600,611,138.60/14,546,438,655,980 = 2,346,143,536,343.80/x - Step 3: Cross multiply
9,697,600,611,138.60x = 14,546,438,655,980 × 2,346,143,536,343.80 - Step 4: Simplify right side
9,697,600,611,138.60x = 34,128,033,029,549,068,881,231,872 - Step 5: Solve for x
x = 34,128,033,029,549,068,881,231,872/9,697,600,611,138.60 - Step 6: Final answer
x = 3,519,224,434,789.55
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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.