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Finding the Fourth Proportional to 76,512,904.65, 114,769,356.98 and 76,512,904.65

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Solution

The fourth proportional to 76,512,904.65, 114,769,356.98 and 76,512,904.65 is: 114,769,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512,904.65 : 114,769,356.98 = 76,512,904.65 : x
  2. Step 2: Convert to fraction form
    76,512,904.65/114,769,356.98 = 76,512,904.65/x
  3. Step 3: Cross multiply
    76,512,904.65x = 114,769,356.98 × 76,512,904.65
  4. Step 4: Simplify right side
    76,512,904.65x = 8,781,336,866,969,988
  5. Step 5: Solve for x
    x = 8,781,336,866,969,988/76,512,904.65
  6. Step 6: Final answer
    x = 114,769,356.98

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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.