Finding the Fourth Proportional to 34,346,946,495,128, 51,516,601,142,476 and 12,291,720,594,322
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Solution
The fourth proportional to 34,346,946,495,128, 51,516,601,142,476 and 12,291,720,594,322 is: 18,436,214,331,374.86
Step by Step Solution
- Step 1: Write the proportion equation
34,346,946,495,128 : 51,516,601,142,476 = 12,291,720,594,322 : x - Step 2: Convert to fraction form
34,346,946,495,128/51,516,601,142,476 = 12,291,720,594,322/x - Step 3: Cross multiply
34,346,946,495,128x = 51,516,601,142,476 × 12,291,720,594,322 - Step 4: Simplify right side
34,346,946,495,128x = 633,227,667,212,444,490,077,831,168 - Step 5: Solve for x
x = 633,227,667,212,444,490,077,831,168/34,346,946,495,128 - Step 6: Final answer
x = 18,436,214,331,374.86
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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.