Home / 542,302,618,201.05-748,384,466,852.05-298,460,153,274.32

Finding the Fourth Proportional to 542,302,618,201.05, 748,384,466,852.05 and 298,460,153,274.32

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Solution

The fourth proportional to 542,302,618,201.05, 748,384,466,852.05 and 298,460,153,274.32 is: 411,878,783,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,302,618,201.05 : 748,384,466,852.05 = 298,460,153,274.32 : x
  2. Step 2: Convert to fraction form
    542,302,618,201.05/748,384,466,852.05 = 298,460,153,274.32/x
  3. Step 3: Cross multiply
    542,302,618,201.05x = 748,384,466,852.05 × 298,460,153,274.32
  4. Step 4: Simplify right side
    542,302,618,201.05x = 223,362,942,684,783,123,103,744
  5. Step 5: Solve for x
    x = 223,362,942,684,783,123,103,744/542,302,618,201.05
  6. Step 6: Final answer
    x = 411,878,783,520.78

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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.