Finding the Fourth Proportional to 778,783,546,062.07, 1,074,727,603,802.70 and 431,559,624,923.49
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Solution
The fourth proportional to 778,783,546,062.07, 1,074,727,603,802.70 and 431,559,624,923.49 is: 595,555,779,185.72
Step by Step Solution
- Step 1: Write the proportion equation
778,783,546,062.07 : 1,074,727,603,802.70 = 431,559,624,923.49 : x - Step 2: Convert to fraction form
778,783,546,062.07/1,074,727,603,802.70 = 431,559,624,923.49/x - Step 3: Cross multiply
778,783,546,062.07x = 1,074,727,603,802.70 × 431,559,624,923.49 - Step 4: Simplify right side
778,783,546,062.07x = 463,809,041,592,014,363,164,672 - Step 5: Solve for x
x = 463,809,041,592,014,363,164,672/778,783,546,062.07 - Step 6: Final answer
x = 595,555,779,185.72
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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.