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Finding the Fourth Proportional to 7,872,830.40, 11,790,583.20 and 7,872,830.40

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Solution

The fourth proportional to 7,872,830.40, 11,790,583.20 and 7,872,830.40 is: 11,790,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,830.40 : 11,790,583.20 = 7,872,830.40 : x
  2. Step 2: Convert to fraction form
    7,872,830.40/11,790,583.20 = 7,872,830.40/x
  3. Step 3: Cross multiply
    7,872,830.40x = 11,790,583.20 × 7,872,830.40
  4. Step 4: Simplify right side
    7,872,830.40x = 92,825,261,850,689.28
  5. Step 5: Solve for x
    x = 92,825,261,850,689.28/7,872,830.40
  6. Step 6: Final answer
    x = 11,790,583.20

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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.