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Finding the Fourth Proportional to 402,019,427.40, 601,753,682.70 and 402,019,427.40

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Solution

The fourth proportional to 402,019,427.40, 601,753,682.70 and 402,019,427.40 is: 601,753,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,019,427.40 : 601,753,682.70 = 402,019,427.40 : x
  2. Step 2: Convert to fraction form
    402,019,427.40/601,753,682.70 = 402,019,427.40/x
  3. Step 3: Cross multiply
    402,019,427.40x = 601,753,682.70 × 402,019,427.40
  4. Step 4: Simplify right side
    402,019,427.40x = 241,916,670,954,895,296
  5. Step 5: Solve for x
    x = 241,916,670,954,895,296/402,019,427.40
  6. Step 6: Final answer
    x = 601,753,682.70

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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.