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Finding the Fourth Proportional to 206,695,577,550.80, 310,043,366,326.20 and 206,695,577,550.80

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Solution

The fourth proportional to 206,695,577,550.80, 310,043,366,326.20 and 206,695,577,550.80 is: 310,043,366,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695,577,550.80 : 310,043,366,326.20 = 206,695,577,550.80 : x
  2. Step 2: Convert to fraction form
    206,695,577,550.80/310,043,366,326.20 = 206,695,577,550.80/x
  3. Step 3: Cross multiply
    206,695,577,550.80x = 310,043,366,326.20 × 206,695,577,550.80
  4. Step 4: Simplify right side
    206,695,577,550.80x = 64,084,592,668,588,166,348,800
  5. Step 5: Solve for x
    x = 64,084,592,668,588,166,348,800/206,695,577,550.80
  6. Step 6: Final answer
    x = 310,043,366,326.20

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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.