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Finding the Fourth Proportional to 402,012,414.40, 601,743,163.20 and 402,012,414.40

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Solution

The fourth proportional to 402,012,414.40, 601,743,163.20 and 402,012,414.40 is: 601,743,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,012,414.40 : 601,743,163.20 = 402,012,414.40 : x
  2. Step 2: Convert to fraction form
    402,012,414.40/601,743,163.20 = 402,012,414.40/x
  3. Step 3: Cross multiply
    402,012,414.40x = 601,743,163.20 × 402,012,414.40
  4. Step 4: Simplify right side
    402,012,414.40x = 241,908,221,886,725,248
  5. Step 5: Solve for x
    x = 241,908,221,886,725,248/402,012,414.40
  6. Step 6: Final answer
    x = 601,743,163.20

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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.