Finding the Fourth Proportional to 1,590,969,756,831, 2,195,539,145,180.40 and 859,358,159,645.68
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Solution
The fourth proportional to 1,590,969,756,831, 2,195,539,145,180.40 and 859,358,159,645.68 is: 1,185,914,736,047.81
Step by Step Solution
- Step 1: Write the proportion equation
1,590,969,756,831 : 2,195,539,145,180.40 = 859,358,159,645.68 : x - Step 2: Convert to fraction form
1,590,969,756,831/2,195,539,145,180.40 = 859,358,159,645.68/x - Step 3: Cross multiply
1,590,969,756,831x = 2,195,539,145,180.40 × 859,358,159,645.68 - Step 4: Simplify right side
1,590,969,756,831x = 1,886,754,479,232,277,960,196,096 - Step 5: Solve for x
x = 1,886,754,479,232,277,960,196,096/1,590,969,756,831 - Step 6: Final answer
x = 1,185,914,736,047.81
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.