Finding the Fourth Proportional to 33,931,191,070,064, 50,896,787,277,700 and 8,144,533,166,742
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Solution
The fourth proportional to 33,931,191,070,064, 50,896,787,277,700 and 8,144,533,166,742 is: 12,216,799,911,558.72
Step by Step Solution
- Step 1: Write the proportion equation
33,931,191,070,064 : 50,896,787,277,700 = 8,144,533,166,742 : x - Step 2: Convert to fraction form
33,931,191,070,064/50,896,787,277,700 = 8,144,533,166,742/x - Step 3: Cross multiply
33,931,191,070,064x = 50,896,787,277,700 × 8,144,533,166,742 - Step 4: Simplify right side
33,931,191,070,064x = 414,530,572,063,839,933,106,749,440 - Step 5: Solve for x
x = 414,530,572,063,839,933,106,749,440/33,931,191,070,064 - Step 6: Final answer
x = 12,216,799,911,558.72
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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.