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Finding the Fourth Proportional to 102,147,601,793.10, 153,221,402,689.65 and 102,147,601,793.10

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Solution

The fourth proportional to 102,147,601,793.10, 153,221,402,689.65 and 102,147,601,793.10 is: 153,221,402,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,147,601,793.10 : 153,221,402,689.65 = 102,147,601,793.10 : x
  2. Step 2: Convert to fraction form
    102,147,601,793.10/153,221,402,689.65 = 102,147,601,793.10/x
  3. Step 3: Cross multiply
    102,147,601,793.10x = 153,221,402,689.65 × 102,147,601,793.10
  4. Step 4: Simplify right side
    102,147,601,793.10x = 15,651,198,828,122,589,888,512
  5. Step 5: Solve for x
    x = 15,651,198,828,122,589,888,512/102,147,601,793.10
  6. Step 6: Final answer
    x = 153,221,402,689.65

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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.