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Finding the Fourth Proportional to 105,660,301.20, 148,125,975.60 and 105,660,301.20

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Solution

The fourth proportional to 105,660,301.20, 148,125,975.60 and 105,660,301.20 is: 148,125,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,660,301.20 : 148,125,975.60 = 105,660,301.20 : x
  2. Step 2: Convert to fraction form
    105,660,301.20/148,125,975.60 = 105,660,301.20/x
  3. Step 3: Cross multiply
    105,660,301.20x = 148,125,975.60 × 105,660,301.20
  4. Step 4: Simplify right side
    105,660,301.20x = 15,651,035,197,439,850
  5. Step 5: Solve for x
    x = 15,651,035,197,439,850/105,660,301.20
  6. Step 6: Final answer
    x = 148,125,975.60

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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.