Finding the Fourth Proportional to 11,613,693,765,907, 16,026,815,866,258 and 6,340,142,376,526.70
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Solution
The fourth proportional to 11,613,693,765,907, 16,026,815,866,258 and 6,340,142,376,526.70 is: 8,749,351,970,407.94
Step by Step Solution
- Step 1: Write the proportion equation
11,613,693,765,907 : 16,026,815,866,258 = 6,340,142,376,526.70 : x - Step 2: Convert to fraction form
11,613,693,765,907/16,026,815,866,258 = 6,340,142,376,526.70/x - Step 3: Cross multiply
11,613,693,765,907x = 16,026,815,866,258 × 6,340,142,376,526.70 - Step 4: Simplify right side
11,613,693,765,907x = 101,612,294,434,452,817,045,356,544 - Step 5: Solve for x
x = 101,612,294,434,452,817,045,356,544/11,613,693,765,907 - Step 6: Final answer
x = 8,749,351,970,407.94
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Double scale
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1.5x scale
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.