Finding the Fourth Proportional to 699,720,102,564.86, 1,049,580,153,847.20 and 196,642,490,708.09
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Solution
The fourth proportional to 699,720,102,564.86, 1,049,580,153,847.20 and 196,642,490,708.09 is: 294,963,736,062.11
Step by Step Solution
- Step 1: Write the proportion equation
699,720,102,564.86 : 1,049,580,153,847.20 = 196,642,490,708.09 : x - Step 2: Convert to fraction form
699,720,102,564.86/1,049,580,153,847.20 = 196,642,490,708.09/x - Step 3: Cross multiply
699,720,102,564.86x = 1,049,580,153,847.20 × 196,642,490,708.09 - Step 4: Simplify right side
699,720,102,564.86x = 206,392,055,650,293,674,672,128 - Step 5: Solve for x
x = 206,392,055,650,293,674,672,128/699,720,102,564.86 - Step 6: Final answer
x = 294,963,736,062.11
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.