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Finding the Fourth Proportional to 165,938,863.65, 248,429,998.58 and 165,938,863.65

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Solution

The fourth proportional to 165,938,863.65, 248,429,998.58 and 165,938,863.65 is: 248,429,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,938,863.65 : 248,429,998.58 = 165,938,863.65 : x
  2. Step 2: Convert to fraction form
    165,938,863.65/248,429,998.58 = 165,938,863.65/x
  3. Step 3: Cross multiply
    165,938,863.65x = 248,429,998.58 × 165,938,863.65
  4. Step 4: Simplify right side
    165,938,863.65x = 41,224,191,660,106,616
  5. Step 5: Solve for x
    x = 41,224,191,660,106,616/165,938,863.65
  6. Step 6: Final answer
    x = 248,429,998.58

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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.