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Finding the Fourth Proportional to 265,738,205.70, 398,607,308.55 and 265,738,205.70

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Solution

The fourth proportional to 265,738,205.70, 398,607,308.55 and 265,738,205.70 is: 398,607,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,738,205.70 : 398,607,308.55 = 265,738,205.70 : x
  2. Step 2: Convert to fraction form
    265,738,205.70/398,607,308.55 = 265,738,205.70/x
  3. Step 3: Cross multiply
    265,738,205.70x = 398,607,308.55 × 265,738,205.70
  4. Step 4: Simplify right side
    265,738,205.70x = 105,925,190,952,983,264
  5. Step 5: Solve for x
    x = 105,925,190,952,983,264/265,738,205.70
  6. Step 6: Final answer
    x = 398,607,308.55

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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.