Finding the Fourth Proportional to 65,378,814,908,080, 98,068,316,746,816 and 26,698,828,055,892
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Solution
The fourth proportional to 65,378,814,908,080, 98,068,316,746,816 and 26,698,828,055,892 is: 40,048,280,627,833.84
Step by Step Solution
- Step 1: Write the proportion equation
65,378,814,908,080 : 98,068,316,746,816 = 26,698,828,055,892 : x - Step 2: Convert to fraction form
65,378,814,908,080/98,068,316,746,816 = 26,698,828,055,892/x - Step 3: Cross multiply
65,378,814,908,080x = 98,068,316,746,816 × 26,698,828,055,892 - Step 4: Simplify right side
65,378,814,908,080x = 2,618,309,126,553,994,557,573,300,224 - Step 5: Solve for x
x = 2,618,309,126,553,994,557,573,300,224/65,378,814,908,080 - Step 6: Final answer
x = 40,048,280,627,833.84
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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.