Finding the Fourth Proportional to 1,708,584,534,892, 2,357,848,993,046.70 and 927,317,674,441.69
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Solution
The fourth proportional to 1,708,584,534,892, 2,357,848,993,046.70 and 927,317,674,441.69 is: 1,279,699,657,971.53
Step by Step Solution
- Step 1: Write the proportion equation
1,708,584,534,892 : 2,357,848,993,046.70 = 927,317,674,441.69 : x - Step 2: Convert to fraction form
1,708,584,534,892/2,357,848,993,046.70 = 927,317,674,441.69/x - Step 3: Cross multiply
1,708,584,534,892x = 2,357,848,993,046.70 × 927,317,674,441.69 - Step 4: Simplify right side
1,708,584,534,892x = 2,186,475,044,916,746,359,144,448 - Step 5: Solve for x
x = 2,186,475,044,916,746,359,144,448/1,708,584,534,892 - Step 6: Final answer
x = 1,279,699,657,971.53
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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.