Finding the Fourth Proportional to 1,708,584,534,396.80, 2,357,848,992,365.60 and 927,317,673,948.82
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Solution
The fourth proportional to 1,708,584,534,396.80, 2,357,848,992,365.60 and 927,317,673,948.82 is: 1,279,699,657,292.61
Step by Step Solution
- Step 1: Write the proportion equation
1,708,584,534,396.80 : 2,357,848,992,365.60 = 927,317,673,948.82 : x - Step 2: Convert to fraction form
1,708,584,534,396.80/2,357,848,992,365.60 = 927,317,673,948.82/x - Step 3: Cross multiply
1,708,584,534,396.80x = 2,357,848,992,365.60 × 927,317,673,948.82 - Step 4: Simplify right side
1,708,584,534,396.80x = 2,186,475,043,123,037,288,267,776 - Step 5: Solve for x
x = 2,186,475,043,123,037,288,267,776/1,708,584,534,396.80 - Step 6: Final answer
x = 1,279,699,657,292.61
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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.