Finding the Fourth Proportional to 4,465,782,657.88, 6,698,673,543.30 and 1,194,146,829.40
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Solution
The fourth proportional to 4,465,782,657.88, 6,698,673,543.30 and 1,194,146,829.40 is: 1,791,220,125.50
Step by Step Solution
- Step 1: Write the proportion equation
4,465,782,657.88 : 6,698,673,543.30 = 1,194,146,829.40 : x - Step 2: Convert to fraction form
4,465,782,657.88/6,698,673,543.30 = 1,194,146,829.40/x - Step 3: Cross multiply
4,465,782,657.88x = 6,698,673,543.30 × 1,194,146,829.40 - Step 4: Simplify right side
4,465,782,657.88x = 7,999,199,772,917,359,616 - Step 5: Solve for x
x = 7,999,199,772,917,359,616/4,465,782,657.88 - Step 6: Final answer
x = 1,791,220,125.50
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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.