Finding the Fourth Proportional to 211,223,866,293.84, 316,966,120,064.64 and 97,882,466,175.60
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Solution
The fourth proportional to 211,223,866,293.84, 316,966,120,064.64 and 97,882,466,175.60 is: 146,884,090,658.95
Step by Step Solution
- Step 1: Write the proportion equation
211,223,866,293.84 : 316,966,120,064.64 = 97,882,466,175.60 : x - Step 2: Convert to fraction form
211,223,866,293.84/316,966,120,064.64 = 97,882,466,175.60/x - Step 3: Cross multiply
211,223,866,293.84x = 316,966,120,064.64 × 97,882,466,175.60 - Step 4: Simplify right side
211,223,866,293.84x = 31,025,425,526,038,296,788,992 - Step 5: Solve for x
x = 31,025,425,526,038,296,788,992/211,223,866,293.84 - Step 6: Final answer
x = 146,884,090,658.95
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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.