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Finding the Fourth Proportional to 105,629,359,833.60, 158,444,039,750.40 and 105,629,359,833.60

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Solution

The fourth proportional to 105,629,359,833.60, 158,444,039,750.40 and 105,629,359,833.60 is: 158,444,039,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,629,359,833.60 : 158,444,039,750.40 = 105,629,359,833.60 : x
  2. Step 2: Convert to fraction form
    105,629,359,833.60/158,444,039,750.40 = 105,629,359,833.60/x
  3. Step 3: Cross multiply
    105,629,359,833.60x = 158,444,039,750.40 × 105,629,359,833.60
  4. Step 4: Simplify right side
    105,629,359,833.60x = 16,736,342,488,284,223,504,384
  5. Step 5: Solve for x
    x = 16,736,342,488,284,223,504,384/105,629,359,833.60
  6. Step 6: Final answer
    x = 158,444,039,750.40

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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.