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Finding the Fourth Proportional to 167,983,641,185.40, 251,975,461,778.10 and 167,983,641,185.40

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Solution

The fourth proportional to 167,983,641,185.40, 251,975,461,778.10 and 167,983,641,185.40 is: 251,975,461,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,983,641,185.40 : 251,975,461,778.10 = 167,983,641,185.40 : x
  2. Step 2: Convert to fraction form
    167,983,641,185.40/251,975,461,778.10 = 167,983,641,185.40/x
  3. Step 3: Cross multiply
    167,983,641,185.40x = 251,975,461,778.10 × 167,983,641,185.40
  4. Step 4: Simplify right side
    167,983,641,185.40x = 42,327,755,558,857,824,272,384
  5. Step 5: Solve for x
    x = 42,327,755,558,857,824,272,384/167,983,641,185.40
  6. Step 6: Final answer
    x = 251,975,461,778.10

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1.5x scale

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.