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Finding the Fourth Proportional to 153,029,912.19, 229,544,868.27 and 153,029,912.19

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Solution

The fourth proportional to 153,029,912.19, 229,544,868.27 and 153,029,912.19 is: 229,544,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,029,912.19 : 229,544,868.27 = 153,029,912.19 : x
  2. Step 2: Convert to fraction form
    153,029,912.19/229,544,868.27 = 153,029,912.19/x
  3. Step 3: Cross multiply
    153,029,912.19x = 229,544,868.27 × 153,029,912.19
  4. Step 4: Simplify right side
    153,029,912.19x = 35,127,231,035,023,220
  5. Step 5: Solve for x
    x = 35,127,231,035,023,220/153,029,912.19
  6. Step 6: Final answer
    x = 229,544,868.27

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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.