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Finding the Fourth Proportional to 3,012,089,382,003.90, 4,518,134,073,006 and 3,012,089,382,003.90

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Solution

The fourth proportional to 3,012,089,382,003.90, 4,518,134,073,006 and 3,012,089,382,003.90 is: 4,518,134,073,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012,089,382,003.90 : 4,518,134,073,006 = 3,012,089,382,003.90 : x
  2. Step 2: Convert to fraction form
    3,012,089,382,003.90/4,518,134,073,006 = 3,012,089,382,003.90/x
  3. Step 3: Cross multiply
    3,012,089,382,003.90x = 4,518,134,073,006 × 3,012,089,382,003.90
  4. Step 4: Simplify right side
    3,012,089,382,003.90x = 13,609,023,667,771,405,607,370,752
  5. Step 5: Solve for x
    x = 13,609,023,667,771,405,607,370,752/3,012,089,382,003.90
  6. Step 6: Final answer
    x = 4,518,134,073,006

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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.