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Finding the Fourth Proportional to 295,026,805.70, 412,231,312.30 and 295,026,805.70

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Solution

The fourth proportional to 295,026,805.70, 412,231,312.30 and 295,026,805.70 is: 412,231,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,026,805.70 : 412,231,312.30 = 295,026,805.70 : x
  2. Step 2: Convert to fraction form
    295,026,805.70/412,231,312.30 = 295,026,805.70/x
  3. Step 3: Cross multiply
    295,026,805.70x = 412,231,312.30 × 295,026,805.70
  4. Step 4: Simplify right side
    295,026,805.70x = 121,619,287,277,388,112
  5. Step 5: Solve for x
    x = 121,619,287,277,388,112/295,026,805.70
  6. Step 6: Final answer
    x = 412,231,312.30

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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.