Finding the Fourth Proportional to 1,468,306,069.99, 2,026,311,320.80 and 824,675,427.72
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Solution
The fourth proportional to 1,468,306,069.99, 2,026,311,320.80 and 824,675,427.72 is: 1,138,079,579.82
Step by Step Solution
- Step 1: Write the proportion equation
1,468,306,069.99 : 2,026,311,320.80 = 824,675,427.72 : x - Step 2: Convert to fraction form
1,468,306,069.99/2,026,311,320.80 = 824,675,427.72/x - Step 3: Cross multiply
1,468,306,069.99x = 2,026,311,320.80 × 824,675,427.72 - Step 4: Simplify right side
1,468,306,069.99x = 1,671,049,155,174,618,112 - Step 5: Solve for x
x = 1,671,049,155,174,618,112/1,468,306,069.99 - Step 6: Final answer
x = 1,138,079,579.82
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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.