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Finding the Fourth Proportional to 149,779,924.20, 209,975,009.40 and 149,779,924.20

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Solution

The fourth proportional to 149,779,924.20, 209,975,009.40 and 149,779,924.20 is: 209,975,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,779,924.20 : 209,975,009.40 = 149,779,924.20 : x
  2. Step 2: Convert to fraction form
    149,779,924.20/209,975,009.40 = 149,779,924.20/x
  3. Step 3: Cross multiply
    149,779,924.20x = 209,975,009.40 × 149,779,924.20
  4. Step 4: Simplify right side
    149,779,924.20x = 31,450,040,991,826,284
  5. Step 5: Solve for x
    x = 31,450,040,991,826,284/149,779,924.20
  6. Step 6: Final answer
    x = 209,975,009.40

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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.