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Finding the Fourth Proportional to 153,615,496,998.90, 230,423,245,498.35 and 153,615,496,998.90

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Solution

The fourth proportional to 153,615,496,998.90, 230,423,245,498.35 and 153,615,496,998.90 is: 230,423,245,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,615,496,998.90 : 230,423,245,498.35 = 153,615,496,998.90 : x
  2. Step 2: Convert to fraction form
    153,615,496,998.90/230,423,245,498.35 = 153,615,496,998.90/x
  3. Step 3: Cross multiply
    153,615,496,998.90x = 230,423,245,498.35 × 153,615,496,998.90
  4. Step 4: Simplify right side
    153,615,496,998.90x = 35,396,581,377,328,583,540,736
  5. Step 5: Solve for x
    x = 35,396,581,377,328,583,540,736/153,615,496,998.90
  6. Step 6: Final answer
    x = 230,423,245,498.35

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Double scale
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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.