Finding the Fourth Proportional to 10,386,840,077,003, 14,327,884,037,416 and 6,478,125,569,438.10
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Solution
The fourth proportional to 10,386,840,077,003, 14,327,884,037,416 and 6,478,125,569,438.10 is: 8,936,099,068,689.05
Step by Step Solution
- Step 1: Write the proportion equation
10,386,840,077,003 : 14,327,884,037,416 = 6,478,125,569,438.10 : x - Step 2: Convert to fraction form
10,386,840,077,003/14,327,884,037,416 = 6,478,125,569,438.10/x - Step 3: Cross multiply
10,386,840,077,003x = 14,327,884,037,416 × 6,478,125,569,438.10 - Step 4: Simplify right side
10,386,840,077,003x = 92,817,831,938,728,574,805,082,112 - Step 5: Solve for x
x = 92,817,831,938,728,574,805,082,112/10,386,840,077,003 - Step 6: Final answer
x = 8,936,099,068,689.05
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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.