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Finding the Fourth Proportional to 193,744,653,531.40, 290,616,980,297.10 and 193,744,653,531.40

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Solution

The fourth proportional to 193,744,653,531.40, 290,616,980,297.10 and 193,744,653,531.40 is: 290,616,980,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,744,653,531.40 : 290,616,980,297.10 = 193,744,653,531.40 : x
  2. Step 2: Convert to fraction form
    193,744,653,531.40/290,616,980,297.10 = 193,744,653,531.40/x
  3. Step 3: Cross multiply
    193,744,653,531.40x = 290,616,980,297.10 × 193,744,653,531.40
  4. Step 4: Simplify right side
    193,744,653,531.40x = 56,305,486,158,003,332,710,400
  5. Step 5: Solve for x
    x = 56,305,486,158,003,332,710,400/193,744,653,531.40
  6. Step 6: Final answer
    x = 290,616,980,297.10

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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.