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Finding the Fourth Proportional to 962,691,569.37, 1,443,616,842.56 and 340,700,164.74

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Solution

The fourth proportional to 962,691,569.37, 1,443,616,842.56 and 340,700,164.74 is: 510,901,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,691,569.37 : 1,443,616,842.56 = 340,700,164.74 : x
  2. Step 2: Convert to fraction form
    962,691,569.37/1,443,616,842.56 = 340,700,164.74/x
  3. Step 3: Cross multiply
    962,691,569.37x = 1,443,616,842.56 × 340,700,164.74
  4. Step 4: Simplify right side
    962,691,569.37x = 491,840,496,079,927,168
  5. Step 5: Solve for x
    x = 491,840,496,079,927,168/962,691,569.37
  6. Step 6: Final answer
    x = 510,901,426.51

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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.