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Finding the Fourth Proportional to 837,372,005.10, 1,256,058,007.65 and 837,372,005.10

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Solution

The fourth proportional to 837,372,005.10, 1,256,058,007.65 and 837,372,005.10 is: 1,256,058,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,372,005.10 : 1,256,058,007.65 = 837,372,005.10 : x
  2. Step 2: Convert to fraction form
    837,372,005.10/1,256,058,007.65 = 837,372,005.10/x
  3. Step 3: Cross multiply
    837,372,005.10x = 1,256,058,007.65 × 837,372,005.10
  4. Step 4: Simplify right side
    837,372,005.10x = 1,051,787,812,387,791,744
  5. Step 5: Solve for x
    x = 1,051,787,812,387,791,744/837,372,005.10
  6. Step 6: Final answer
    x = 1,256,058,007.65

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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.