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Finding the Fourth Proportional to 102,042,017.20, 153,063,025.80 and 102,042,017.20

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Solution

The fourth proportional to 102,042,017.20, 153,063,025.80 and 102,042,017.20 is: 153,063,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042,017.20 : 153,063,025.80 = 102,042,017.20 : x
  2. Step 2: Convert to fraction form
    102,042,017.20/153,063,025.80 = 102,042,017.20/x
  3. Step 3: Cross multiply
    102,042,017.20x = 153,063,025.80 × 102,042,017.20
  4. Step 4: Simplify right side
    102,042,017.20x = 15,618,859,911,367,646
  5. Step 5: Solve for x
    x = 15,618,859,911,367,646/102,042,017.20
  6. Step 6: Final answer
    x = 153,063,025.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.