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Finding the Fourth Proportional to 163,315,022,875.80, 244,972,534,313.70 and 163,315,022,875.80

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Solution

The fourth proportional to 163,315,022,875.80, 244,972,534,313.70 and 163,315,022,875.80 is: 244,972,534,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,315,022,875.80 : 244,972,534,313.70 = 163,315,022,875.80 : x
  2. Step 2: Convert to fraction form
    163,315,022,875.80/244,972,534,313.70 = 163,315,022,875.80/x
  3. Step 3: Cross multiply
    163,315,022,875.80x = 244,972,534,313.70 × 163,315,022,875.80
  4. Step 4: Simplify right side
    163,315,022,875.80x = 40,007,695,045,384,615,231,488
  5. Step 5: Solve for x
    x = 40,007,695,045,384,615,231,488/163,315,022,875.80
  6. Step 6: Final answer
    x = 244,972,534,313.70

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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.