Finding the Fourth Proportional to 471,266,463,982.89, 706,899,705,327.99 and 113,118,437,626.28
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Solution
The fourth proportional to 471,266,463,982.89, 706,899,705,327.99 and 113,118,437,626.28 is: 169,677,658,684.59
Step by Step Solution
- Step 1: Write the proportion equation
471,266,463,982.89 : 706,899,705,327.99 = 113,118,437,626.28 : x - Step 2: Convert to fraction form
471,266,463,982.89/706,899,705,327.99 = 113,118,437,626.28/x - Step 3: Cross multiply
471,266,463,982.89x = 706,899,705,327.99 × 113,118,437,626.28 - Step 4: Simplify right side
471,266,463,982.89x = 79,963,390,225,179,952,021,504 - Step 5: Solve for x
x = 79,963,390,225,179,952,021,504/471,266,463,982.89 - Step 6: Final answer
x = 169,677,658,684.59
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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.