Finding the Fourth Proportional to 953,695,386,122.70, 1,430,543,000,288.90 and 264,497,382,296.42
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Solution
The fourth proportional to 953,695,386,122.70, 1,430,543,000,288.90 and 264,497,382,296.42 is: 396,746,051,563.89
Step by Step Solution
- Step 1: Write the proportion equation
953,695,386,122.70 : 1,430,543,000,288.90 = 264,497,382,296.42 : x - Step 2: Convert to fraction form
953,695,386,122.70/1,430,543,000,288.90 = 264,497,382,296.42/x - Step 3: Cross multiply
953,695,386,122.70x = 1,430,543,000,288.90 × 264,497,382,296.42 - Step 4: Simplify right side
953,695,386,122.70x = 378,374,878,838,880,846,479,360 - Step 5: Solve for x
x = 378,374,878,838,880,846,479,360/953,695,386,122.70 - Step 6: Final answer
x = 396,746,051,563.89
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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.