Finding the Fourth Proportional to 319,506,950,323.10, 440,933,451,427.18 and 176,936,210,371.08
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Solution
The fourth proportional to 319,506,950,323.10, 440,933,451,427.18 and 176,936,210,371.08 is: 244,179,645,677.42
Step by Step Solution
- Step 1: Write the proportion equation
319,506,950,323.10 : 440,933,451,427.18 = 176,936,210,371.08 : x - Step 2: Convert to fraction form
319,506,950,323.10/440,933,451,427.18 = 176,936,210,371.08/x - Step 3: Cross multiply
319,506,950,323.10x = 440,933,451,427.18 × 176,936,210,371.08 - Step 4: Simplify right side
319,506,950,323.10x = 78,017,093,921,365,905,375,232 - Step 5: Solve for x
x = 78,017,093,921,365,905,375,232/319,506,950,323.10 - Step 6: Final answer
x = 244,179,645,677.42
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.