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Finding the Fourth Proportional to 116,903,896.80, 175,366,904.40 and 31,803,352.80

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Solution

The fourth proportional to 116,903,896.80, 175,366,904.40 and 31,803,352.80 is: 47,708,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,903,896.80 : 175,366,904.40 = 31,803,352.80 : x
  2. Step 2: Convert to fraction form
    116,903,896.80/175,366,904.40 = 31,803,352.80/x
  3. Step 3: Cross multiply
    116,903,896.80x = 175,366,904.40 × 31,803,352.80
  4. Step 4: Simplify right side
    116,903,896.80x = 5,577,255,530,077,073
  5. Step 5: Solve for x
    x = 5,577,255,530,077,073/116,903,896.80
  6. Step 6: Final answer
    x = 47,708,037.82

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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.