Finding the Fourth Proportional to 849,475,306,698.92, 1,172,276,393,511.80 and 458,841,868,455.68
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Solution
The fourth proportional to 849,475,306,698.92, 1,172,276,393,511.80 and 458,841,868,455.68 is: 633,202,032,482.49
Step by Step Solution
- Step 1: Write the proportion equation
849,475,306,698.92 : 1,172,276,393,511.80 = 458,841,868,455.68 : x - Step 2: Convert to fraction form
849,475,306,698.92/1,172,276,393,511.80 = 458,841,868,455.68/x - Step 3: Cross multiply
849,475,306,698.92x = 1,172,276,393,511.80 × 458,841,868,455.68 - Step 4: Simplify right side
849,475,306,698.92x = 537,889,490,745,440,298,074,112 - Step 5: Solve for x
x = 537,889,490,745,440,298,074,112/849,475,306,698.92 - Step 6: Final answer
x = 633,202,032,482.49
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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.