Finding the Fourth Proportional to 65,378,814,908,085, 98,068,316,746,830 and 26,698,828,055,904
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Solution
The fourth proportional to 65,378,814,908,085, 98,068,316,746,830 and 26,698,828,055,904 is: 40,048,280,627,854.49
Step by Step Solution
- Step 1: Write the proportion equation
65,378,814,908,085 : 98,068,316,746,830 = 26,698,828,055,904 : x - Step 2: Convert to fraction form
65,378,814,908,085/98,068,316,746,830 = 26,698,828,055,904/x - Step 3: Cross multiply
65,378,814,908,085x = 98,068,316,746,830 × 26,698,828,055,904 - Step 4: Simplify right side
65,378,814,908,085x = 2,618,309,126,555,544,868,968,464,384 - Step 5: Solve for x
x = 2,618,309,126,555,544,868,968,464,384/65,378,814,908,085 - Step 6: Final answer
x = 40,048,280,627,854.49
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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.