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Finding the Fourth Proportional to 134,542,710,400.80, 201,814,065,601.20 and 134,542,710,400.80

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Solution

The fourth proportional to 134,542,710,400.80, 201,814,065,601.20 and 134,542,710,400.80 is: 201,814,065,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,542,710,400.80 : 201,814,065,601.20 = 134,542,710,400.80 : x
  2. Step 2: Convert to fraction form
    134,542,710,400.80/201,814,065,601.20 = 134,542,710,400.80/x
  3. Step 3: Cross multiply
    134,542,710,400.80x = 201,814,065,601.20 × 134,542,710,400.80
  4. Step 4: Simplify right side
    134,542,710,400.80x = 27,152,611,382,990,307,590,144
  5. Step 5: Solve for x
    x = 27,152,611,382,990,307,590,144/134,542,710,400.80
  6. Step 6: Final answer
    x = 201,814,065,601.20

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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.