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Finding the Fourth Proportional to 148,416,042.20, 207,357,785.80 and 148,416,042.20

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Solution

The fourth proportional to 148,416,042.20, 207,357,785.80 and 148,416,042.20 is: 207,357,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,416,042.20 : 207,357,785.80 = 148,416,042.20 : x
  2. Step 2: Convert to fraction form
    148,416,042.20/207,357,785.80 = 148,416,042.20/x
  3. Step 3: Cross multiply
    148,416,042.20x = 207,357,785.80 × 148,416,042.20
  4. Step 4: Simplify right side
    148,416,042.20x = 30,775,221,887,791,360
  5. Step 5: Solve for x
    x = 30,775,221,887,791,360/148,416,042.20
  6. Step 6: Final answer
    x = 207,357,785.80

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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.