Finding the Fourth Proportional to 14,400,566,621,374, 19,872,796,645,148 and 7,816,063,638,080
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Solution
The fourth proportional to 14,400,566,621,374, 19,872,796,645,148 and 7,816,063,638,080 is: 10,786,175,803,287.89
Step by Step Solution
- Step 1: Write the proportion equation
14,400,566,621,374 : 19,872,796,645,148 = 7,816,063,638,080 : x - Step 2: Convert to fraction form
14,400,566,621,374/19,872,796,645,148 = 7,816,063,638,080/x - Step 3: Cross multiply
14,400,566,621,374x = 19,872,796,645,148 × 7,816,063,638,080 - Step 4: Simplify right side
14,400,566,621,374x = 155,327,043,245,099,502,964,572,160 - Step 5: Solve for x
x = 155,327,043,245,099,502,964,572,160/14,400,566,621,374 - Step 6: Final answer
x = 10,786,175,803,287.89
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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.