Finding the Fourth Proportional to 731,306,773,033.95, 1,009,205,704,963.10 and 406,146,064,846.09
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Solution
The fourth proportional to 731,306,773,033.95, 1,009,205,704,963.10 and 406,146,064,846.09 is: 560,482,879,148.67
Step by Step Solution
- Step 1: Write the proportion equation
731,306,773,033.95 : 1,009,205,704,963.10 = 406,146,064,846.09 : x - Step 2: Convert to fraction form
731,306,773,033.95/1,009,205,704,963.10 = 406,146,064,846.09/x - Step 3: Cross multiply
731,306,773,033.95x = 1,009,205,704,963.10 × 406,146,064,846.09 - Step 4: Simplify right side
731,306,773,033.95x = 409,884,925,690,987,220,566,016 - Step 5: Solve for x
x = 409,884,925,690,987,220,566,016/731,306,773,033.95 - Step 6: Final answer
x = 560,482,879,148.67
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.