Finding the Fourth Proportional to 417,702,283,319.74, 626,552,642,358.98 and 130,882,296,987.51
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Solution
The fourth proportional to 417,702,283,319.74, 626,552,642,358.98 and 130,882,296,987.51 is: 196,323,200,255.92
Step by Step Solution
- Step 1: Write the proportion equation
417,702,283,319.74 : 626,552,642,358.98 = 130,882,296,987.51 : x - Step 2: Convert to fraction form
417,702,283,319.74/626,552,642,358.98 = 130,882,296,987.51/x - Step 3: Cross multiply
417,702,283,319.74x = 626,552,642,358.98 × 130,882,296,987.51 - Step 4: Simplify right side
417,702,283,319.74x = 82,004,649,015,537,144,168,448 - Step 5: Solve for x
x = 82,004,649,015,537,144,168,448/417,702,283,319.74 - Step 6: Final answer
x = 196,323,200,255.92
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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.