Finding the Fourth Proportional to 1,542,104,443,216.90, 2,128,075,502,349.70 and 847,630,154,713.70
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Solution
The fourth proportional to 1,542,104,443,216.90, 2,128,075,502,349.70 and 847,630,154,713.70 is: 1,169,713,877,184.78
Step by Step Solution
- Step 1: Write the proportion equation
1,542,104,443,216.90 : 2,128,075,502,349.70 = 847,630,154,713.70 : x - Step 2: Convert to fraction form
1,542,104,443,216.90/2,128,075,502,349.70 = 847,630,154,713.70/x - Step 3: Cross multiply
1,542,104,443,216.90x = 2,128,075,502,349.70 × 847,630,154,713.70 - Step 4: Simplify right side
1,542,104,443,216.90x = 1,803,820,967,299,110,800,457,728 - Step 5: Solve for x
x = 1,803,820,967,299,110,800,457,728/1,542,104,443,216.90 - Step 6: Final answer
x = 1,169,713,877,184.78
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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.