Finding the Fourth Proportional to 842,831,516,934.15, 1,163,108,354,173.60 and 457,455,942,237.42
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Solution
The fourth proportional to 842,831,516,934.15, 1,163,108,354,173.60 and 457,455,942,237.42 is: 631,289,667,498.60
Step by Step Solution
- Step 1: Write the proportion equation
842,831,516,934.15 : 1,163,108,354,173.60 = 457,455,942,237.42 : x - Step 2: Convert to fraction form
842,831,516,934.15/1,163,108,354,173.60 = 457,455,942,237.42/x - Step 3: Cross multiply
842,831,516,934.15x = 1,163,108,354,173.60 × 457,455,942,237.42 - Step 4: Simplify right side
842,831,516,934.15x = 532,070,828,082,699,060,641,792 - Step 5: Solve for x
x = 532,070,828,082,699,060,641,792/842,831,516,934.15 - Step 6: Final answer
x = 631,289,667,498.60
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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.