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Finding the Fourth Proportional to 440,038,984,919.10, 660,058,477,378.65 and 440,038,984,919.10

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Solution

The fourth proportional to 440,038,984,919.10, 660,058,477,378.65 and 440,038,984,919.10 is: 660,058,477,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,038,984,919.10 : 660,058,477,378.65 = 440,038,984,919.10 : x
  2. Step 2: Convert to fraction form
    440,038,984,919.10/660,058,477,378.65 = 440,038,984,919.10/x
  3. Step 3: Cross multiply
    440,038,984,919.10x = 660,058,477,378.65 × 440,038,984,919.10
  4. Step 4: Simplify right side
    440,038,984,919.10x = 290,451,462,372,947,870,613,504
  5. Step 5: Solve for x
    x = 290,451,462,372,947,870,613,504/440,038,984,919.10
  6. Step 6: Final answer
    x = 660,058,477,378.65

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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.