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Finding the Fourth Proportional to 46,145,874.30, 69,218,811.45 and 46,145,874.30

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Solution

The fourth proportional to 46,145,874.30, 69,218,811.45 and 46,145,874.30 is: 69,218,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,145,874.30 : 69,218,811.45 = 46,145,874.30 : x
  2. Step 2: Convert to fraction form
    46,145,874.30/69,218,811.45 = 46,145,874.30/x
  3. Step 3: Cross multiply
    46,145,874.30x = 69,218,811.45 × 46,145,874.30
  4. Step 4: Simplify right side
    46,145,874.30x = 3,194,162,572,367,100.50
  5. Step 5: Solve for x
    x = 3,194,162,572,367,100.50/46,145,874.30
  6. Step 6: Final answer
    x = 69,218,811.45

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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.