Finding the Fourth Proportional to 10,386,840,077,004, 14,327,884,037,417 and 6,478,125,569,439.10
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Solution
The fourth proportional to 10,386,840,077,004, 14,327,884,037,417 and 6,478,125,569,439.10 is: 8,936,099,068,690.19
Step by Step Solution
- Step 1: Write the proportion equation
10,386,840,077,004 : 14,327,884,037,417 = 6,478,125,569,439.10 : x - Step 2: Convert to fraction form
10,386,840,077,004/14,327,884,037,417 = 6,478,125,569,439.10/x - Step 3: Cross multiply
10,386,840,077,004x = 14,327,884,037,417 × 6,478,125,569,439.10 - Step 4: Simplify right side
10,386,840,077,004x = 92,817,831,938,749,396,806,533,120 - Step 5: Solve for x
x = 92,817,831,938,749,396,806,533,120/10,386,840,077,004 - Step 6: Final answer
x = 8,936,099,068,690.19
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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.