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Finding the Fourth Proportional to 968,792,886,000.75, 1,453,189,329,001.10 and 968,792,886,000.75

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Solution

The fourth proportional to 968,792,886,000.75, 1,453,189,329,001.10 and 968,792,886,000.75 is: 1,453,189,329,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,792,886,000.75 : 1,453,189,329,001.10 = 968,792,886,000.75 : x
  2. Step 2: Convert to fraction form
    968,792,886,000.75/1,453,189,329,001.10 = 968,792,886,000.75/x
  3. Step 3: Cross multiply
    968,792,886,000.75x = 1,453,189,329,001.10 × 968,792,886,000.75
  4. Step 4: Simplify right side
    968,792,886,000.75x = 1,407,839,483,948,469,227,356,160
  5. Step 5: Solve for x
    x = 1,407,839,483,948,469,227,356,160/968,792,886,000.75
  6. Step 6: Final answer
    x = 1,453,189,329,001.10

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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.