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Finding the Fourth Proportional to 1,161,486,509.80, 1,742,229,764.70 and 898,458,644.20

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Solution

The fourth proportional to 1,161,486,509.80, 1,742,229,764.70 and 898,458,644.20 is: 1,347,687,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,486,509.80 : 1,742,229,764.70 = 898,458,644.20 : x
  2. Step 2: Convert to fraction form
    1,161,486,509.80/1,742,229,764.70 = 898,458,644.20/x
  3. Step 3: Cross multiply
    1,161,486,509.80x = 1,742,229,764.70 × 898,458,644.20
  4. Step 4: Simplify right side
    1,161,486,509.80x = 1,565,321,392,277,247,232
  5. Step 5: Solve for x
    x = 1,565,321,392,277,247,232/1,161,486,509.80
  6. Step 6: Final answer
    x = 1,347,687,966.30

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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.