Finding the Fourth Proportional to 422,397,546,750.72, 633,875,454,342.48 and 198,871,421,184
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Solution
The fourth proportional to 422,397,546,750.72, 633,875,454,342.48 and 198,871,421,184 is: 298,438,552,563.70
Step by Step Solution
- Step 1: Write the proportion equation
422,397,546,750.72 : 633,875,454,342.48 = 198,871,421,184 : x - Step 2: Convert to fraction form
422,397,546,750.72/633,875,454,342.48 = 198,871,421,184/x - Step 3: Cross multiply
422,397,546,750.72x = 633,875,454,342.48 × 198,871,421,184 - Step 4: Simplify right side
422,397,546,750.72x = 126,059,712,458,742,690,742,272 - Step 5: Solve for x
x = 126,059,712,458,742,690,742,272/422,397,546,750.72 - Step 6: Final answer
x = 298,438,552,563.70
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.