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Finding the Fourth Proportional to 186,681,123.20, 279,483,600.78 and 186,681,123.20

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Solution

The fourth proportional to 186,681,123.20, 279,483,600.78 and 186,681,123.20 is: 279,483,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,681,123.20 : 279,483,600.78 = 186,681,123.20 : x
  2. Step 2: Convert to fraction form
    186,681,123.20/279,483,600.78 = 186,681,123.20/x
  3. Step 3: Cross multiply
    186,681,123.20x = 279,483,600.78 × 186,681,123.20
  4. Step 4: Simplify right side
    186,681,123.20x = 52,174,312,509,590,784
  5. Step 5: Solve for x
    x = 52,174,312,509,590,784/186,681,123.20
  6. Step 6: Final answer
    x = 279,483,600.78

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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.