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Finding the Fourth Proportional to 1,189,161,738.90, 1,783,742,608.35 and 1,189,161,738.90

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Solution

The fourth proportional to 1,189,161,738.90, 1,783,742,608.35 and 1,189,161,738.90 is: 1,783,742,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,161,738.90 : 1,783,742,608.35 = 1,189,161,738.90 : x
  2. Step 2: Convert to fraction form
    1,189,161,738.90/1,783,742,608.35 = 1,189,161,738.90/x
  3. Step 3: Cross multiply
    1,189,161,738.90x = 1,783,742,608.35 × 1,189,161,738.90
  4. Step 4: Simplify right side
    1,189,161,738.90x = 2,121,158,461,895,507,712
  5. Step 5: Solve for x
    x = 2,121,158,461,895,507,712/1,189,161,738.90
  6. Step 6: Final answer
    x = 1,783,742,608.35

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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.