Finding the Fourth Proportional to 96,885,551,403.94, 145,327,717,277.36 and 52,138,126,201.76
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Solution
The fourth proportional to 96,885,551,403.94, 145,327,717,277.36 and 52,138,126,201.76 is: 78,206,861,128.65
Step by Step Solution
- Step 1: Write the proportion equation
96,885,551,403.94 : 145,327,717,277.36 = 52,138,126,201.76 : x - Step 2: Convert to fraction form
96,885,551,403.94/145,327,717,277.36 = 52,138,126,201.76/x - Step 3: Cross multiply
96,885,551,403.94x = 145,327,717,277.36 × 52,138,126,201.76 - Step 4: Simplify right side
96,885,551,403.94x = 7,577,114,864,020,692,664,320 - Step 5: Solve for x
x = 7,577,114,864,020,692,664,320/96,885,551,403.94 - Step 6: Final answer
x = 78,206,861,128.65
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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.