Finding the Fourth Proportional to 1,468,306,069.17, 2,026,311,319.68 and 824,675,426.91
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Solution
The fourth proportional to 1,468,306,069.17, 2,026,311,319.68 and 824,675,426.91 is: 1,138,079,578.70
Step by Step Solution
- Step 1: Write the proportion equation
1,468,306,069.17 : 2,026,311,319.68 = 824,675,426.91 : x - Step 2: Convert to fraction form
1,468,306,069.17/2,026,311,319.68 = 824,675,426.91/x - Step 3: Cross multiply
1,468,306,069.17x = 2,026,311,319.68 × 824,675,426.91 - Step 4: Simplify right side
1,468,306,069.17x = 1,671,049,152,609,669,376 - Step 5: Solve for x
x = 1,671,049,152,609,669,376/1,468,306,069.17 - Step 6: Final answer
x = 1,138,079,578.70
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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.