Finding the Fourth Proportional to 681,132,074,109.30, 1,021,698,111,164 and 681,132,074,109.30
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Solution
The fourth proportional to 681,132,074,109.30, 1,021,698,111,164 and 681,132,074,109.30 is: 1,021,698,111,164
Step by Step Solution
- Step 1: Write the proportion equation
681,132,074,109.30 : 1,021,698,111,164 = 681,132,074,109.30 : x - Step 2: Convert to fraction form
681,132,074,109.30/1,021,698,111,164 = 681,132,074,109.30/x - Step 3: Cross multiply
681,132,074,109.30x = 1,021,698,111,164 × 681,132,074,109.30 - Step 4: Simplify right side
681,132,074,109.30x = 695,911,353,570,689,502,150,656 - Step 5: Solve for x
x = 695,911,353,570,689,502,150,656/681,132,074,109.30 - Step 6: Final answer
x = 1,021,698,111,164
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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.