Finding the Fourth Proportional to 761,119,811,005.98, 1,050,372,955,513.70 and 436,021,934,203.38
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Solution
The fourth proportional to 761,119,811,005.98, 1,050,372,955,513.70 and 436,021,934,203.38 is: 601,726,089,737.02
Step by Step Solution
- Step 1: Write the proportion equation
761,119,811,005.98 : 1,050,372,955,513.70 = 436,021,934,203.38 : x - Step 2: Convert to fraction form
761,119,811,005.98/1,050,372,955,513.70 = 436,021,934,203.38/x - Step 3: Cross multiply
761,119,811,005.98x = 1,050,372,955,513.70 × 436,021,934,203.38 - Step 4: Simplify right side
761,119,811,005.98x = 457,985,647,698,004,242,595,840 - Step 5: Solve for x
x = 457,985,647,698,004,242,595,840/761,119,811,005.98 - Step 6: Final answer
x = 601,726,089,737.02
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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.