Finding the Fourth Proportional to 314,265,630,822.24, 433,686,744,511.20 and 169,749,759,773.28
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Solution
The fourth proportional to 314,265,630,822.24, 433,686,744,511.20 and 169,749,759,773.28 is: 234,254,762,460.08
Step by Step Solution
- Step 1: Write the proportion equation
314,265,630,822.24 : 433,686,744,511.20 = 169,749,759,773.28 : x - Step 2: Convert to fraction form
314,265,630,822.24/433,686,744,511.20 = 169,749,759,773.28/x - Step 3: Cross multiply
314,265,630,822.24x = 433,686,744,511.20 × 169,749,759,773.28 - Step 4: Simplify right side
314,265,630,822.24x = 73,618,220,697,632,056,016,896 - Step 5: Solve for x
x = 73,618,220,697,632,056,016,896/314,265,630,822.24 - Step 6: Final answer
x = 234,254,762,460.08
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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.