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Finding the Fourth Proportional to 332,477,428.80, 497,582,402.40 and 332,477,428.80

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Solution

The fourth proportional to 332,477,428.80, 497,582,402.40 and 332,477,428.80 is: 497,582,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,477,428.80 : 497,582,402.40 = 332,477,428.80 : x
  2. Step 2: Convert to fraction form
    332,477,428.80/497,582,402.40 = 332,477,428.80/x
  3. Step 3: Cross multiply
    332,477,428.80x = 497,582,402.40 × 332,477,428.80
  4. Step 4: Simplify right side
    332,477,428.80x = 165,434,917,766,078,944
  5. Step 5: Solve for x
    x = 165,434,917,766,078,944/332,477,428.80
  6. Step 6: Final answer
    x = 497,582,402.40

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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.