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Finding the Fourth Proportional to 418,607,216.81, 627,917,484.03 and 233,040,630.71

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Solution

The fourth proportional to 418,607,216.81, 627,917,484.03 and 233,040,630.71 is: 349,564,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,607,216.81 : 627,917,484.03 = 233,040,630.71 : x
  2. Step 2: Convert to fraction form
    418,607,216.81/627,917,484.03 = 233,040,630.71/x
  3. Step 3: Cross multiply
    418,607,216.81x = 627,917,484.03 × 233,040,630.71
  4. Step 4: Simplify right side
    418,607,216.81x = 146,330,286,507,882,752
  5. Step 5: Solve for x
    x = 146,330,286,507,882,752/418,607,216.81
  6. Step 6: Final answer
    x = 349,564,653.05

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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.