Finding the Fourth Proportional to 86,626,017,982.94, 129,847,318,487.82 and 29,138,125,160.46
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Solution
The fourth proportional to 86,626,017,982.94, 129,847,318,487.82 and 29,138,125,160.46 is: 43,676,340,041.32
Step by Step Solution
- Step 1: Write the proportion equation
86,626,017,982.94 : 129,847,318,487.82 = 29,138,125,160.46 : x - Step 2: Convert to fraction form
86,626,017,982.94/129,847,318,487.82 = 29,138,125,160.46/x - Step 3: Cross multiply
86,626,017,982.94x = 129,847,318,487.82 × 29,138,125,160.46 - Step 4: Simplify right side
86,626,017,982.94x = 3,783,507,417,848,210,784,256 - Step 5: Solve for x
x = 3,783,507,417,848,210,784,256/86,626,017,982.94 - Step 6: Final answer
x = 43,676,340,041.32
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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.