Finding the Fourth Proportional to 51,548,303,973.49, 71,142,852,346.11 and 31,225,163,405.06
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Solution
The fourth proportional to 51,548,303,973.49, 71,142,852,346.11 and 31,225,163,405.06 is: 43,094,476,798.92
Step by Step Solution
- Step 1: Write the proportion equation
51,548,303,973.49 : 71,142,852,346.11 = 31,225,163,405.06 : x - Step 2: Convert to fraction form
51,548,303,973.49/71,142,852,346.11 = 31,225,163,405.06/x - Step 3: Cross multiply
51,548,303,973.49x = 71,142,852,346.11 × 31,225,163,405.06 - Step 4: Simplify right side
51,548,303,973.49x = 2,221,447,189,609,079,111,680 - Step 5: Solve for x
x = 2,221,447,189,609,079,111,680/51,548,303,973.49 - Step 6: Final answer
x = 43,094,476,798.92
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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.