Finding the Fourth Proportional to 51,245,533,173,099, 70,717,632,909,309 and 30,152,693,823,503
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Solution
The fourth proportional to 51,245,533,173,099, 70,717,632,909,309 and 30,152,693,823,503 is: 41,610,009,712,156.23
Step by Step Solution
- Step 1: Write the proportion equation
51,245,533,173,099 : 70,717,632,909,309 = 30,152,693,823,503 : x - Step 2: Convert to fraction form
51,245,533,173,099/70,717,632,909,309 = 30,152,693,823,503/x - Step 3: Cross multiply
51,245,533,173,099x = 70,717,632,909,309 × 30,152,693,823,503 - Step 4: Simplify right side
51,245,533,173,099x = 2,132,327,133,037,273,898,754,768,896 - Step 5: Solve for x
x = 2,132,327,133,037,273,898,754,768,896/51,245,533,173,099 - Step 6: Final answer
x = 41,610,009,712,156.23
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.