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Finding the Fourth Proportional to 163,777,142,405.80, 245,665,713,608.70 and 163,777,142,405.80

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Solution

The fourth proportional to 163,777,142,405.80, 245,665,713,608.70 and 163,777,142,405.80 is: 245,665,713,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,777,142,405.80 : 245,665,713,608.70 = 163,777,142,405.80 : x
  2. Step 2: Convert to fraction form
    163,777,142,405.80/245,665,713,608.70 = 163,777,142,405.80/x
  3. Step 3: Cross multiply
    163,777,142,405.80x = 245,665,713,608.70 × 163,777,142,405.80
  4. Step 4: Simplify right side
    163,777,142,405.80x = 40,234,428,561,914,534,559,744
  5. Step 5: Solve for x
    x = 40,234,428,561,914,534,559,744/163,777,142,405.80
  6. Step 6: Final answer
    x = 245,665,713,608.70

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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.