Finding the Fourth Proportional to 2,109,138,562.96, 3,161,493,213.59 and 709,636,964.91
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Solution
The fourth proportional to 2,109,138,562.96, 3,161,493,213.59 and 709,636,964.91 is: 1,063,710,316.66
Step by Step Solution
- Step 1: Write the proportion equation
2,109,138,562.96 : 3,161,493,213.59 = 709,636,964.91 : x - Step 2: Convert to fraction form
2,109,138,562.96/3,161,493,213.59 = 709,636,964.91/x - Step 3: Cross multiply
2,109,138,562.96x = 3,161,493,213.59 × 709,636,964.91 - Step 4: Simplify right side
2,109,138,562.96x = 2,243,512,448,675,569,920 - Step 5: Solve for x
x = 2,243,512,448,675,569,920/2,109,138,562.96 - Step 6: Final answer
x = 1,063,710,316.66
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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.