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Finding the Fourth Proportional to 240,290,440.40, 337,171,891.60 and 240,290,440.40

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Solution

The fourth proportional to 240,290,440.40, 337,171,891.60 and 240,290,440.40 is: 337,171,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,290,440.40 : 337,171,891.60 = 240,290,440.40 : x
  2. Step 2: Convert to fraction form
    240,290,440.40/337,171,891.60 = 240,290,440.40/x
  3. Step 3: Cross multiply
    240,290,440.40x = 337,171,891.60 × 240,290,440.40
  4. Step 4: Simplify right side
    240,290,440.40x = 81,019,182,323,065,072
  5. Step 5: Solve for x
    x = 81,019,182,323,065,072/240,290,440.40
  6. Step 6: Final answer
    x = 337,171,891.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.