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Finding the Fourth Proportional to 188,032,116.30, 282,048,174.45 and 188,032,116.30

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Solution

The fourth proportional to 188,032,116.30, 282,048,174.45 and 188,032,116.30 is: 282,048,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,032,116.30 : 282,048,174.45 = 188,032,116.30 : x
  2. Step 2: Convert to fraction form
    188,032,116.30/282,048,174.45 = 188,032,116.30/x
  3. Step 3: Cross multiply
    188,032,116.30x = 282,048,174.45 × 188,032,116.30
  4. Step 4: Simplify right side
    188,032,116.30x = 53,034,115,140,385,088
  5. Step 5: Solve for x
    x = 53,034,115,140,385,088/188,032,116.30
  6. Step 6: Final answer
    x = 282,048,174.45

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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.