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Finding the Fourth Proportional to 230,812,338,843.60, 346,218,508,265.40 and 230,812,338,843.60

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Solution

The fourth proportional to 230,812,338,843.60, 346,218,508,265.40 and 230,812,338,843.60 is: 346,218,508,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,812,338,843.60 : 346,218,508,265.40 = 230,812,338,843.60 : x
  2. Step 2: Convert to fraction form
    230,812,338,843.60/346,218,508,265.40 = 230,812,338,843.60/x
  3. Step 3: Cross multiply
    230,812,338,843.60x = 346,218,508,265.40 × 230,812,338,843.60
  4. Step 4: Simplify right side
    230,812,338,843.60x = 79,911,503,643,679,244,943,360
  5. Step 5: Solve for x
    x = 79,911,503,643,679,244,943,360/230,812,338,843.60
  6. Step 6: Final answer
    x = 346,218,508,265.40

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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.