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Finding the Fourth Proportional to 145,205,382.40, 203,438,700.80 and 145,205,382.40

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Solution

The fourth proportional to 145,205,382.40, 203,438,700.80 and 145,205,382.40 is: 203,438,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,205,382.40 : 203,438,700.80 = 145,205,382.40 : x
  2. Step 2: Convert to fraction form
    145,205,382.40/203,438,700.80 = 145,205,382.40/x
  3. Step 3: Cross multiply
    145,205,382.40x = 203,438,700.80 × 145,205,382.40
  4. Step 4: Simplify right side
    145,205,382.40x = 29,540,394,344,623,188
  5. Step 5: Solve for x
    x = 29,540,394,344,623,188/145,205,382.40
  6. Step 6: Final answer
    x = 203,438,700.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.