Finding the Fourth Proportional to 778,783,546,050.84, 1,074,727,603,787.30 and 431,559,624,912.26
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Solution
The fourth proportional to 778,783,546,050.84, 1,074,727,603,787.30 and 431,559,624,912.26 is: 595,555,779,170.28
Step by Step Solution
- Step 1: Write the proportion equation
778,783,546,050.84 : 1,074,727,603,787.30 = 431,559,624,912.26 : x - Step 2: Convert to fraction form
778,783,546,050.84/1,074,727,603,787.30 = 431,559,624,912.26/x - Step 3: Cross multiply
778,783,546,050.84x = 1,074,727,603,787.30 × 431,559,624,912.26 - Step 4: Simplify right side
778,783,546,050.84x = 463,809,041,573,299,177,390,080 - Step 5: Solve for x
x = 463,809,041,573,299,177,390,080/778,783,546,050.84 - Step 6: Final answer
x = 595,555,779,170.28
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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.