Finding the Fourth Proportional to 199,154,589,625.36, 274,834,161,724.36 and 107,703,140,447.71
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Solution
The fourth proportional to 199,154,589,625.36, 274,834,161,724.36 and 107,703,140,447.71 is: 148,630,781,624.02
Step by Step Solution
- Step 1: Write the proportion equation
199,154,589,625.36 : 274,834,161,724.36 = 107,703,140,447.71 : x - Step 2: Convert to fraction form
199,154,589,625.36/274,834,161,724.36 = 107,703,140,447.71/x - Step 3: Cross multiply
199,154,589,625.36x = 274,834,161,724.36 × 107,703,140,447.71 - Step 4: Simplify right side
199,154,589,625.36x = 29,600,502,320,027,387,559,936 - Step 5: Solve for x
x = 29,600,502,320,027,387,559,936/199,154,589,625.36 - Step 6: Final answer
x = 148,630,781,624.02
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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.