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Finding the Fourth Proportional to 412,250,266.74, 569,179,315.32 and 316,710,615.39

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Solution

The fourth proportional to 412,250,266.74, 569,179,315.32 and 316,710,615.39 is: 437,271,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,250,266.74 : 569,179,315.32 = 316,710,615.39 : x
  2. Step 2: Convert to fraction form
    412,250,266.74/569,179,315.32 = 316,710,615.39/x
  3. Step 3: Cross multiply
    412,250,266.74x = 569,179,315.32 × 316,710,615.39
  4. Step 4: Simplify right side
    412,250,266.74x = 180,265,131,222,256,064
  5. Step 5: Solve for x
    x = 180,265,131,222,256,064/412,250,266.74
  6. Step 6: Final answer
    x = 437,271,108.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.