Finding the Fourth Proportional to 24,174,688,921,486, 36,225,134,243,289 and 14,353,421,817,397
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Solution
The fourth proportional to 24,174,688,921,486, 36,225,134,243,289 and 14,353,421,817,397 is: 21,508,224,319,843.63
Step by Step Solution
- Step 1: Write the proportion equation
24,174,688,921,486 : 36,225,134,243,289 = 14,353,421,817,397 : x - Step 2: Convert to fraction form
24,174,688,921,486/36,225,134,243,289 = 14,353,421,817,397/x - Step 3: Cross multiply
24,174,688,921,486x = 36,225,134,243,289 × 14,353,421,817,397 - Step 4: Simplify right side
24,174,688,921,486x = 519,954,632,185,759,507,628,949,504 - Step 5: Solve for x
x = 519,954,632,185,759,507,628,949,504/24,174,688,921,486 - Step 6: Final answer
x = 21,508,224,319,843.63
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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.