Finding the Fourth Proportional to 1,542,104,443,232.40, 2,128,075,502,371.10 and 847,630,154,729.40
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Solution
The fourth proportional to 1,542,104,443,232.40, 2,128,075,502,371.10 and 847,630,154,729.40 is: 1,169,713,877,206.45
Step by Step Solution
- Step 1: Write the proportion equation
1,542,104,443,232.40 : 2,128,075,502,371.10 = 847,630,154,729.40 : x - Step 2: Convert to fraction form
1,542,104,443,232.40/2,128,075,502,371.10 = 847,630,154,729.40/x - Step 3: Cross multiply
1,542,104,443,232.40x = 2,128,075,502,371.10 × 847,630,154,729.40 - Step 4: Simplify right side
1,542,104,443,232.40x = 1,803,820,967,350,661,145,427,968 - Step 5: Solve for x
x = 1,803,820,967,350,661,145,427,968/1,542,104,443,232.40 - Step 6: Final answer
x = 1,169,713,877,206.45
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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.