Finding the Fourth Proportional to 778,783,545,229.90, 1,074,727,602,646.20 and 431,559,624,091.14
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Solution
The fourth proportional to 778,783,545,229.90, 1,074,727,602,646.20 and 431,559,624,091.14 is: 595,555,778,032.58
Step by Step Solution
- Step 1: Write the proportion equation
778,783,545,229.90 : 1,074,727,602,646.20 = 431,559,624,091.14 : x - Step 2: Convert to fraction form
778,783,545,229.90/1,074,727,602,646.20 = 431,559,624,091.14/x - Step 3: Cross multiply
778,783,545,229.90x = 1,074,727,602,646.20 × 431,559,624,091.14 - Step 4: Simplify right side
778,783,545,229.90x = 463,809,040,198,366,127,980,544 - Step 5: Solve for x
x = 463,809,040,198,366,127,980,544/778,783,545,229.90 - Step 6: Final answer
x = 595,555,778,032.58
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.