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Finding the Fourth Proportional to 210,450,636,002.08, 315,675,954,003.13 and 210,450,636,002.08

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Solution

The fourth proportional to 210,450,636,002.08, 315,675,954,003.13 and 210,450,636,002.08 is: 315,675,954,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,450,636,002.08 : 315,675,954,003.13 = 210,450,636,002.08 : x
  2. Step 2: Convert to fraction form
    210,450,636,002.08/315,675,954,003.13 = 210,450,636,002.08/x
  3. Step 3: Cross multiply
    210,450,636,002.08x = 315,675,954,003.13 × 210,450,636,002.08
  4. Step 4: Simplify right side
    210,450,636,002.08x = 66,434,205,290,522,061,307,904
  5. Step 5: Solve for x
    x = 66,434,205,290,522,061,307,904/210,450,636,002.08
  6. Step 6: Final answer
    x = 315,675,954,003.13

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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.