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Finding the Fourth Proportional to 414,463,950.84, 572,010,406.68 and 235,891,256.55

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Solution

The fourth proportional to 414,463,950.84, 572,010,406.68 and 235,891,256.55 is: 325,558,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,463,950.84 : 572,010,406.68 = 235,891,256.55 : x
  2. Step 2: Convert to fraction form
    414,463,950.84/572,010,406.68 = 235,891,256.55/x
  3. Step 3: Cross multiply
    414,463,950.84x = 572,010,406.68 × 235,891,256.55
  4. Step 4: Simplify right side
    414,463,950.84x = 134,932,253,591,421,712
  5. Step 5: Solve for x
    x = 134,932,253,591,421,712/414,463,950.84
  6. Step 6: Final answer
    x = 325,558,479.38

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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.