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Finding the Fourth Proportional to 1,003,430,266.65, 1,505,145,399.98 and 1,003,430,266.65

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Solution

The fourth proportional to 1,003,430,266.65, 1,505,145,399.98 and 1,003,430,266.65 is: 1,505,145,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,430,266.65 : 1,505,145,399.98 = 1,003,430,266.65 : x
  2. Step 2: Convert to fraction form
    1,003,430,266.65/1,505,145,399.98 = 1,003,430,266.65/x
  3. Step 3: Cross multiply
    1,003,430,266.65x = 1,505,145,399.98 × 1,003,430,266.65
  4. Step 4: Simplify right side
    1,003,430,266.65x = 1,510,308,450,043,934,976
  5. Step 5: Solve for x
    x = 1,510,308,450,043,934,976/1,003,430,266.65
  6. Step 6: Final answer
    x = 1,505,145,399.98

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Double scale
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1.5x scale

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.