Finding the Fourth Proportional to 2,742,629,854.41, 4,112,935,698.84 and 947,386,542.20
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Solution
The fourth proportional to 2,742,629,854.41, 4,112,935,698.84 and 947,386,542.20 is: 1,420,731,245.86
Step by Step Solution
- Step 1: Write the proportion equation
2,742,629,854.41 : 4,112,935,698.84 = 947,386,542.20 : x - Step 2: Convert to fraction form
2,742,629,854.41/4,112,935,698.84 = 947,386,542.20/x - Step 3: Cross multiply
2,742,629,854.41x = 4,112,935,698.84 × 947,386,542.20 - Step 4: Simplify right side
2,742,629,854.41x = 3,896,539,929,995,288,064 - Step 5: Solve for x
x = 3,896,539,929,995,288,064/2,742,629,854.41 - Step 6: Final answer
x = 1,420,731,245.86
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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.