Finding the Fourth Proportional to 1,698,187,439,394.90, 2,547,638,958,352.20 and 550,730,193,236.30
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Solution
The fourth proportional to 1,698,187,439,394.90, 2,547,638,958,352.20 and 550,730,193,236.30 is: 826,211,325,841.38
Step by Step Solution
- Step 1: Write the proportion equation
1,698,187,439,394.90 : 2,547,638,958,352.20 = 550,730,193,236.30 : x - Step 2: Convert to fraction form
1,698,187,439,394.90/2,547,638,958,352.20 = 550,730,193,236.30/x - Step 3: Cross multiply
1,698,187,439,394.90x = 2,547,638,958,352.20 × 550,730,193,236.30 - Step 4: Simplify right side
1,698,187,439,394.90x = 1,403,061,695,829,633,321,140,224 - Step 5: Solve for x
x = 1,403,061,695,829,633,321,140,224/1,698,187,439,394.90 - Step 6: Final answer
x = 826,211,325,841.38
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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.