Finding the Fourth Proportional to 360,817,618,941.20, 497,971,000,964.94 and 214,330,659,106.26
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Solution
The fourth proportional to 360,817,618,941.20, 497,971,000,964.94 and 214,330,659,106.26 is: 295,801,666,132.09
Step by Step Solution
- Step 1: Write the proportion equation
360,817,618,941.20 : 497,971,000,964.94 = 214,330,659,106.26 : x - Step 2: Convert to fraction form
360,817,618,941.20/497,971,000,964.94 = 214,330,659,106.26/x - Step 3: Cross multiply
360,817,618,941.20x = 497,971,000,964.94 × 214,330,659,106.26 - Step 4: Simplify right side
360,817,618,941.20x = 106,730,452,852,619,629,035,520 - Step 5: Solve for x
x = 106,730,452,852,619,629,035,520/360,817,618,941.20 - Step 6: Final answer
x = 295,801,666,132.09
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.