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Finding the Fourth Proportional to 17,658,214.40, 24,778,187.20 and 17,658,214.40

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Solution

The fourth proportional to 17,658,214.40, 24,778,187.20 and 17,658,214.40 is: 24,778,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658,214.40 : 24,778,187.20 = 17,658,214.40 : x
  2. Step 2: Convert to fraction form
    17,658,214.40/24,778,187.20 = 17,658,214.40/x
  3. Step 3: Cross multiply
    17,658,214.40x = 24,778,187.20 × 17,658,214.40
  4. Step 4: Simplify right side
    17,658,214.40x = 437,538,542,020,935.62
  5. Step 5: Solve for x
    x = 437,538,542,020,935.62/17,658,214.40
  6. Step 6: Final answer
    x = 24,778,187.20

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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.