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Finding the Fourth Proportional to 27,641,319.30, 41,461,978.95 and 27,641,319.30

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Solution

The fourth proportional to 27,641,319.30, 41,461,978.95 and 27,641,319.30 is: 41,461,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641,319.30 : 41,461,978.95 = 27,641,319.30 : x
  2. Step 2: Convert to fraction form
    27,641,319.30/41,461,978.95 = 27,641,319.30/x
  3. Step 3: Cross multiply
    27,641,319.30x = 41,461,978.95 × 27,641,319.30
  4. Step 4: Simplify right side
    27,641,319.30x = 1,146,063,798,966,828.75
  5. Step 5: Solve for x
    x = 1,146,063,798,966,828.75/27,641,319.30
  6. Step 6: Final answer
    x = 41,461,978.95

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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.