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Finding the Fourth Proportional to 11,847,008.40, 16,633,641.45 and 11,847,008.40

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Solution

The fourth proportional to 11,847,008.40, 16,633,641.45 and 11,847,008.40 is: 16,633,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847,008.40 : 16,633,641.45 = 11,847,008.40 : x
  2. Step 2: Convert to fraction form
    11,847,008.40/16,633,641.45 = 11,847,008.40/x
  3. Step 3: Cross multiply
    11,847,008.40x = 16,633,641.45 × 11,847,008.40
  4. Step 4: Simplify right side
    11,847,008.40x = 197,058,889,980,738.19
  5. Step 5: Solve for x
    x = 197,058,889,980,738.19/11,847,008.40
  6. Step 6: Final answer
    x = 16,633,641.45

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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.