Finding the Fourth Proportional to 211,223,866,033.07, 316,966,119,671.57 and 97,882,465,914.79
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Solution
The fourth proportional to 211,223,866,033.07, 316,966,119,671.57 and 97,882,465,914.79 is: 146,884,090,266.76
Step by Step Solution
- Step 1: Write the proportion equation
211,223,866,033.07 : 316,966,119,671.57 = 97,882,465,914.79 : x - Step 2: Convert to fraction form
211,223,866,033.07/316,966,119,671.57 = 97,882,465,914.79/x - Step 3: Cross multiply
211,223,866,033.07x = 316,966,119,671.57 × 97,882,465,914.79 - Step 4: Simplify right side
211,223,866,033.07x = 31,025,425,404,895,061,606,400 - Step 5: Solve for x
x = 31,025,425,404,895,061,606,400/211,223,866,033.07 - Step 6: Final answer
x = 146,884,090,266.76
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.