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Finding the Fourth Proportional to 1,001,020,381.20, 1,501,530,571.80 and 1,001,020,381.20

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Solution

The fourth proportional to 1,001,020,381.20, 1,501,530,571.80 and 1,001,020,381.20 is: 1,501,530,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,020,381.20 : 1,501,530,571.80 = 1,001,020,381.20 : x
  2. Step 2: Convert to fraction form
    1,001,020,381.20/1,501,530,571.80 = 1,001,020,381.20/x
  3. Step 3: Cross multiply
    1,001,020,381.20x = 1,501,530,571.80 × 1,001,020,381.20
  4. Step 4: Simplify right side
    1,001,020,381.20x = 1,503,062,705,366,690,048
  5. Step 5: Solve for x
    x = 1,503,062,705,366,690,048/1,001,020,381.20
  6. Step 6: Final answer
    x = 1,501,530,571.80

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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.