Finding the Fourth Proportional to 65,378,814,909,030, 98,068,316,748,252 and 26,698,828,056,848
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Solution
The fourth proportional to 65,378,814,909,030, 98,068,316,748,252 and 26,698,828,056,848 is: 40,048,280,629,272.33
Step by Step Solution
- Step 1: Write the proportion equation
65,378,814,909,030 : 98,068,316,748,252 = 26,698,828,056,848 : x - Step 2: Convert to fraction form
65,378,814,909,030/98,068,316,748,252 = 26,698,828,056,848/x - Step 3: Cross multiply
65,378,814,909,030x = 98,068,316,748,252 × 26,698,828,056,848 - Step 4: Simplify right side
65,378,814,909,030x = 2,618,309,126,686,087,135,755,239,424 - Step 5: Solve for x
x = 2,618,309,126,686,087,135,755,239,424/65,378,814,909,030 - Step 6: Final answer
x = 40,048,280,629,272.33
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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.