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Finding the Fourth Proportional to 106,301,889.60, 148,923,422.40 and 106,301,889.60

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Solution

The fourth proportional to 106,301,889.60, 148,923,422.40 and 106,301,889.60 is: 148,923,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,301,889.60 : 148,923,422.40 = 106,301,889.60 : x
  2. Step 2: Convert to fraction form
    106,301,889.60/148,923,422.40 = 106,301,889.60/x
  3. Step 3: Cross multiply
    106,301,889.60x = 148,923,422.40 × 106,301,889.60
  4. Step 4: Simplify right side
    106,301,889.60x = 15,830,841,206,818,966
  5. Step 5: Solve for x
    x = 15,830,841,206,818,966/106,301,889.60
  6. Step 6: Final answer
    x = 148,923,422.40

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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.