Finding the Fourth Proportional to 852,235,587,907.05, 1,176,075,742,006.80 and 461,592,433,873.84
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Solution
The fourth proportional to 852,235,587,907.05, 1,176,075,742,006.80 and 461,592,433,873.84 is: 636,992,484,092.45
Step by Step Solution
- Step 1: Write the proportion equation
852,235,587,907.05 : 1,176,075,742,006.80 = 461,592,433,873.84 : x - Step 2: Convert to fraction form
852,235,587,907.05/1,176,075,742,006.80 = 461,592,433,873.84/x - Step 3: Cross multiply
852,235,587,907.05x = 1,176,075,742,006.80 × 461,592,433,873.84 - Step 4: Simplify right side
852,235,587,907.05x = 542,867,664,172,901,201,870,848 - Step 5: Solve for x
x = 542,867,664,172,901,201,870,848/852,235,587,907.05 - Step 6: Final answer
x = 636,992,484,092.45
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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.