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Finding the Fourth Proportional to 202,992,890.94, 280,132,876.90 and 110,174,511.42

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Solution

The fourth proportional to 202,992,890.94, 280,132,876.90 and 110,174,511.42 is: 152,042,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,992,890.94 : 280,132,876.90 = 110,174,511.42 : x
  2. Step 2: Convert to fraction form
    202,992,890.94/280,132,876.90 = 110,174,511.42/x
  3. Step 3: Cross multiply
    202,992,890.94x = 280,132,876.90 × 110,174,511.42
  4. Step 4: Simplify right side
    202,992,890.94x = 30,863,502,845,561,396
  5. Step 5: Solve for x
    x = 30,863,502,845,561,396/202,992,890.94
  6. Step 6: Final answer
    x = 152,042,284.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.