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Finding the Fourth Proportional to 147,492,048.80, 206,106,230.80 and 147,492,048.80

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Solution

The fourth proportional to 147,492,048.80, 206,106,230.80 and 147,492,048.80 is: 206,106,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,492,048.80 : 206,106,230.80 = 147,492,048.80 : x
  2. Step 2: Convert to fraction form
    147,492,048.80/206,106,230.80 = 147,492,048.80/x
  3. Step 3: Cross multiply
    147,492,048.80x = 206,106,230.80 × 147,492,048.80
  4. Step 4: Simplify right side
    147,492,048.80x = 30,399,030,251,137,668
  5. Step 5: Solve for x
    x = 30,399,030,251,137,668/147,492,048.80
  6. Step 6: Final answer
    x = 206,106,230.80

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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.