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Finding the Fourth Proportional to 164,835,482,867.20, 247,253,224,300.80 and 164,835,482,867.20

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Solution

The fourth proportional to 164,835,482,867.20, 247,253,224,300.80 and 164,835,482,867.20 is: 247,253,224,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,835,482,867.20 : 247,253,224,300.80 = 164,835,482,867.20 : x
  2. Step 2: Convert to fraction form
    164,835,482,867.20/247,253,224,300.80 = 164,835,482,867.20/x
  3. Step 3: Cross multiply
    164,835,482,867.20x = 247,253,224,300.80 × 164,835,482,867.20
  4. Step 4: Simplify right side
    164,835,482,867.20x = 40,756,104,618,094,482,161,664
  5. Step 5: Solve for x
    x = 40,756,104,618,094,482,161,664/164,835,482,867.20
  6. Step 6: Final answer
    x = 247,253,224,300.80

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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.