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Finding the Fourth Proportional to 31,117,713.90, 46,676,570.85 and 31,117,713.90

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Solution

The fourth proportional to 31,117,713.90, 46,676,570.85 and 31,117,713.90 is: 46,676,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117,713.90 : 46,676,570.85 = 31,117,713.90 : x
  2. Step 2: Convert to fraction form
    31,117,713.90/46,676,570.85 = 31,117,713.90/x
  3. Step 3: Cross multiply
    31,117,713.90x = 46,676,570.85 × 31,117,713.90
  4. Step 4: Simplify right side
    31,117,713.90x = 1,452,468,177,543,379.75
  5. Step 5: Solve for x
    x = 1,452,468,177,543,379.75/31,117,713.90
  6. Step 6: Final answer
    x = 46,676,570.85

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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.