Finding the Fourth Proportional to 42,564,723,056,446, 63,847,189,212,114 and 12,002,918,310,301
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Solution
The fourth proportional to 42,564,723,056,446, 63,847,189,212,114 and 12,002,918,310,301 is: 18,004,406,969,570.99
Step by Step Solution
- Step 1: Write the proportion equation
42,564,723,056,446 : 63,847,189,212,114 = 12,002,918,310,301 : x - Step 2: Convert to fraction form
42,564,723,056,446/63,847,189,212,114 = 12,002,918,310,301/x - Step 3: Cross multiply
42,564,723,056,446x = 63,847,189,212,114 × 12,002,918,310,301 - Step 4: Simplify right side
42,564,723,056,446x = 766,352,596,455,335,546,809,483,264 - Step 5: Solve for x
x = 766,352,596,455,335,546,809,483,264/42,564,723,056,446 - Step 6: Final answer
x = 18,004,406,969,570.99
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.