Finding the Fourth Proportional to 72,226,292,862.24, 108,296,520,263.20 and 27,461,066,330.88
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Solution
The fourth proportional to 72,226,292,862.24, 108,296,520,263.20 and 27,461,066,330.88 is: 41,175,281,306.82
Step by Step Solution
- Step 1: Write the proportion equation
72,226,292,862.24 : 108,296,520,263.20 = 27,461,066,330.88 : x - Step 2: Convert to fraction form
72,226,292,862.24/108,296,520,263.20 = 27,461,066,330.88/x - Step 3: Cross multiply
72,226,292,862.24x = 108,296,520,263.20 × 27,461,066,330.88 - Step 4: Simplify right side
72,226,292,862.24x = 2,973,937,926,351,225,356,288 - Step 5: Solve for x
x = 2,973,937,926,351,225,356,288/72,226,292,862.24 - Step 6: Final answer
x = 41,175,281,306.82
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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.