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Finding the Fourth Proportional to 165,952,264.30, 231,879,673.70 and 165,952,264.30

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Solution

The fourth proportional to 165,952,264.30, 231,879,673.70 and 165,952,264.30 is: 231,879,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,952,264.30 : 231,879,673.70 = 165,952,264.30 : x
  2. Step 2: Convert to fraction form
    165,952,264.30/231,879,673.70 = 165,952,264.30/x
  3. Step 3: Cross multiply
    165,952,264.30x = 231,879,673.70 × 165,952,264.30
  4. Step 4: Simplify right side
    165,952,264.30x = 38,480,956,895,660,160
  5. Step 5: Solve for x
    x = 38,480,956,895,660,160/165,952,264.30
  6. Step 6: Final answer
    x = 231,879,673.70

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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.