Finding the Fourth Proportional to 717,057,046,745.94, 1,075,590,193,360.40 and 286,830,073,469.02
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Solution
The fourth proportional to 717,057,046,745.94, 1,075,590,193,360.40 and 286,830,073,469.02 is: 430,246,959,546.90
Step by Step Solution
- Step 1: Write the proportion equation
717,057,046,745.94 : 1,075,590,193,360.40 = 286,830,073,469.02 : x - Step 2: Convert to fraction form
717,057,046,745.94/1,075,590,193,360.40 = 286,830,073,469.02/x - Step 3: Cross multiply
717,057,046,745.94x = 1,075,590,193,360.40 × 286,830,073,469.02 - Step 4: Simplify right side
717,057,046,745.94x = 308,511,614,184,121,000,001,536 - Step 5: Solve for x
x = 308,511,614,184,121,000,001,536/717,057,046,745.94 - Step 6: Final answer
x = 430,246,959,546.90
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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.