Finding the Fourth Proportional to 99,864,079,307.99, 149,780,173,364.55 and 29,102,238,170.58
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Solution
The fourth proportional to 99,864,079,307.99, 149,780,173,364.55 and 29,102,238,170.58 is: 43,648,710,414.11
Step by Step Solution
- Step 1: Write the proportion equation
99,864,079,307.99 : 149,780,173,364.55 = 29,102,238,170.58 : x - Step 2: Convert to fraction form
99,864,079,307.99/149,780,173,364.55 = 29,102,238,170.58/x - Step 3: Cross multiply
99,864,079,307.99x = 149,780,173,364.55 × 29,102,238,170.58 - Step 4: Simplify right side
99,864,079,307.99x = 4,358,938,278,485,596,569,600 - Step 5: Solve for x
x = 4,358,938,278,485,596,569,600/99,864,079,307.99 - Step 6: Final answer
x = 43,648,710,414.11
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1.5x scale
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.