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Finding the Fourth Proportional to 517,382,964.46, 776,074,480.44 and 413,264,689.12

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Solution

The fourth proportional to 517,382,964.46, 776,074,480.44 and 413,264,689.12 is: 619,897,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,382,964.46 : 776,074,480.44 = 413,264,689.12 : x
  2. Step 2: Convert to fraction form
    517,382,964.46/776,074,480.44 = 413,264,689.12/x
  3. Step 3: Cross multiply
    517,382,964.46x = 776,074,480.44 × 413,264,689.12
  4. Step 4: Simplify right side
    517,382,964.46x = 320,724,178,893,002,176
  5. Step 5: Solve for x
    x = 320,724,178,893,002,176/517,382,964.46
  6. Step 6: Final answer
    x = 619,897,060.64

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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.