Finding the Fourth Proportional to 313,142,203,342.68, 469,459,827,638.49 and 97,899,951,948.77
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Solution
The fourth proportional to 313,142,203,342.68, 469,459,827,638.49 and 97,899,951,948.77 is: 146,770,681,425.50
Step by Step Solution
- Step 1: Write the proportion equation
313,142,203,342.68 : 469,459,827,638.49 = 97,899,951,948.77 : x - Step 2: Convert to fraction form
313,142,203,342.68/469,459,827,638.49 = 97,899,951,948.77/x - Step 3: Cross multiply
313,142,203,342.68x = 469,459,827,638.49 × 97,899,951,948.77 - Step 4: Simplify right side
313,142,203,342.68x = 45,960,094,567,686,018,695,168 - Step 5: Solve for x
x = 45,960,094,567,686,018,695,168/313,142,203,342.68 - Step 6: Final answer
x = 146,770,681,425.50
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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.