Finding the Fourth Proportional to 211,223,866,295.84, 316,966,120,067.64 and 97,882,466,177.60
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Solution
The fourth proportional to 211,223,866,295.84, 316,966,120,067.64 and 97,882,466,177.60 is: 146,884,090,661.95
Step by Step Solution
- Step 1: Write the proportion equation
211,223,866,295.84 : 316,966,120,067.64 = 97,882,466,177.60 : x - Step 2: Convert to fraction form
211,223,866,295.84/316,966,120,067.64 = 97,882,466,177.60/x - Step 3: Cross multiply
211,223,866,295.84x = 316,966,120,067.64 × 97,882,466,177.60 - Step 4: Simplify right side
211,223,866,295.84x = 31,025,425,526,965,875,507,200 - Step 5: Solve for x
x = 31,025,425,526,965,875,507,200/211,223,866,295.84 - Step 6: Final answer
x = 146,884,090,661.95
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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.