Finding the Fourth Proportional to 37,260,884,892,292, 55,892,465,973,900 and 12,783,362,360,632
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Solution
The fourth proportional to 37,260,884,892,292, 55,892,465,973,900 and 12,783,362,360,632 is: 19,175,434,180,884.48
Step by Step Solution
- Step 1: Write the proportion equation
37,260,884,892,292 : 55,892,465,973,900 = 12,783,362,360,632 : x - Step 2: Convert to fraction form
37,260,884,892,292/55,892,465,973,900 = 12,783,362,360,632/x - Step 3: Cross multiply
37,260,884,892,292x = 55,892,465,973,900 × 12,783,362,360,632 - Step 4: Simplify right side
37,260,884,892,292x = 714,493,645,773,658,070,351,609,856 - Step 5: Solve for x
x = 714,493,645,773,658,070,351,609,856/37,260,884,892,292 - Step 6: Final answer
x = 19,175,434,180,884.48
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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.