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Finding the Fourth Proportional to 440,038,980,010.35, 660,058,470,015.50 and 440,038,980,010.35

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Solution

The fourth proportional to 440,038,980,010.35, 660,058,470,015.50 and 440,038,980,010.35 is: 660,058,470,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,038,980,010.35 : 660,058,470,015.50 = 440,038,980,010.35 : x
  2. Step 2: Convert to fraction form
    440,038,980,010.35/660,058,470,015.50 = 440,038,980,010.35/x
  3. Step 3: Cross multiply
    440,038,980,010.35x = 660,058,470,015.50 × 440,038,980,010.35
  4. Step 4: Simplify right side
    440,038,980,010.35x = 290,451,455,892,812,782,895,104
  5. Step 5: Solve for x
    x = 290,451,455,892,812,782,895,104/440,038,980,010.35
  6. Step 6: Final answer
    x = 660,058,470,015.50

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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.