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Finding the Fourth Proportional to 147,492,064.55, 206,106,252.85 and 147,492,064.55

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Solution

The fourth proportional to 147,492,064.55, 206,106,252.85 and 147,492,064.55 is: 206,106,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,492,064.55 : 206,106,252.85 = 147,492,064.55 : x
  2. Step 2: Convert to fraction form
    147,492,064.55/206,106,252.85 = 147,492,064.55/x
  3. Step 3: Cross multiply
    147,492,064.55x = 206,106,252.85 × 147,492,064.55
  4. Step 4: Simplify right side
    147,492,064.55x = 30,399,036,749,510,824
  5. Step 5: Solve for x
    x = 30,399,036,749,510,824/147,492,064.55
  6. Step 6: Final answer
    x = 206,106,252.85

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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.