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Finding the Fourth Proportional to 458,535,168,016.20, 687,802,752,024.30 and 458,535,168,016.20

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Solution

The fourth proportional to 458,535,168,016.20, 687,802,752,024.30 and 458,535,168,016.20 is: 687,802,752,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,535,168,016.20 : 687,802,752,024.30 = 458,535,168,016.20 : x
  2. Step 2: Convert to fraction form
    458,535,168,016.20/687,802,752,024.30 = 458,535,168,016.20/x
  3. Step 3: Cross multiply
    458,535,168,016.20x = 687,802,752,024.30 × 458,535,168,016.20
  4. Step 4: Simplify right side
    458,535,168,016.20x = 315,381,750,461,467,186,954,240
  5. Step 5: Solve for x
    x = 315,381,750,461,467,186,954,240/458,535,168,016.20
  6. Step 6: Final answer
    x = 687,802,752,024.30

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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.