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Finding the Fourth Proportional to 3,540,321,569.40, 4,946,775,609 and 3,540,321,569.40

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Solution

The fourth proportional to 3,540,321,569.40, 4,946,775,609 and 3,540,321,569.40 is: 4,946,775,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540,321,569.40 : 4,946,775,609 = 3,540,321,569.40 : x
  2. Step 2: Convert to fraction form
    3,540,321,569.40/4,946,775,609 = 3,540,321,569.40/x
  3. Step 3: Cross multiply
    3,540,321,569.40x = 4,946,775,609 × 3,540,321,569.40
  4. Step 4: Simplify right side
    3,540,321,569.40x = 17,513,176,387,524,521,984
  5. Step 5: Solve for x
    x = 17,513,176,387,524,521,984/3,540,321,569.40
  6. Step 6: Final answer
    x = 4,946,775,609

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1.5x scale

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.