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Finding the Fourth Proportional to 105,714,150.40, 148,339,932.80 and 105,714,150.40

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Solution

The fourth proportional to 105,714,150.40, 148,339,932.80 and 105,714,150.40 is: 148,339,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,714,150.40 : 148,339,932.80 = 105,714,150.40 : x
  2. Step 2: Convert to fraction form
    105,714,150.40/148,339,932.80 = 105,714,150.40/x
  3. Step 3: Cross multiply
    105,714,150.40x = 148,339,932.80 × 105,714,150.40
  4. Step 4: Simplify right side
    105,714,150.40x = 15,681,629,966,345,096
  5. Step 5: Solve for x
    x = 15,681,629,966,345,096/105,714,150.40
  6. Step 6: Final answer
    x = 148,339,932.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.