Finding the Fourth Proportional to 1,745,927,739,145, 2,409,354,638,523.30 and 975,187,678,765.65
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Solution
The fourth proportional to 1,745,927,739,145, 2,409,354,638,523.30 and 975,187,678,765.65 is: 1,345,744,674,642.38
Step by Step Solution
- Step 1: Write the proportion equation
1,745,927,739,145 : 2,409,354,638,523.30 = 975,187,678,765.65 : x - Step 2: Convert to fraction form
1,745,927,739,145/2,409,354,638,523.30 = 975,187,678,765.65/x - Step 3: Cross multiply
1,745,927,739,145x = 2,409,354,638,523.30 × 975,187,678,765.65 - Step 4: Simplify right side
1,745,927,739,145x = 2,349,572,957,264,788,498,415,616 - Step 5: Solve for x
x = 2,349,572,957,264,788,498,415,616/1,745,927,739,145 - Step 6: Final answer
x = 1,345,744,674,642.38
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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.