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Finding the Fourth Proportional to 6,488,633.30, 9,732,949.95 and 6,488,633.30

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Solution

The fourth proportional to 6,488,633.30, 9,732,949.95 and 6,488,633.30 is: 9,732,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488,633.30 : 9,732,949.95 = 6,488,633.30 : x
  2. Step 2: Convert to fraction form
    6,488,633.30/9,732,949.95 = 6,488,633.30/x
  3. Step 3: Cross multiply
    6,488,633.30x = 9,732,949.95 × 6,488,633.30
  4. Step 4: Simplify right side
    6,488,633.30x = 63,153,543,152,803.33
  5. Step 5: Solve for x
    x = 63,153,543,152,803.33/6,488,633.30
  6. Step 6: Final answer
    x = 9,732,949.95

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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.