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Finding the Fourth Proportional to 210,450,636,000.67, 315,675,954,001.01 and 210,450,636,000.67

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Solution

The fourth proportional to 210,450,636,000.67, 315,675,954,001.01 and 210,450,636,000.67 is: 315,675,954,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,450,636,000.67 : 315,675,954,001.01 = 210,450,636,000.67 : x
  2. Step 2: Convert to fraction form
    210,450,636,000.67/315,675,954,001.01 = 210,450,636,000.67/x
  3. Step 3: Cross multiply
    210,450,636,000.67x = 315,675,954,001.01 × 210,450,636,000.67
  4. Step 4: Simplify right side
    210,450,636,000.67x = 66,434,205,289,630,805,262,336
  5. Step 5: Solve for x
    x = 66,434,205,289,630,805,262,336/210,450,636,000.67
  6. Step 6: Final answer
    x = 315,675,954,001.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.