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Finding the Fourth Proportional to 865,692,569.20, 1,299,350,668.20 and 457,041,996.40

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Solution

The fourth proportional to 865,692,569.20, 1,299,350,668.20 and 457,041,996.40 is: 685,991,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,692,569.20 : 1,299,350,668.20 = 457,041,996.40 : x
  2. Step 2: Convert to fraction form
    865,692,569.20/1,299,350,668.20 = 457,041,996.40/x
  3. Step 3: Cross multiply
    865,692,569.20x = 1,299,350,668.20 × 457,041,996.40
  4. Step 4: Simplify right side
    865,692,569.20x = 593,857,823,417,801,984
  5. Step 5: Solve for x
    x = 593,857,823,417,801,984/865,692,569.20
  6. Step 6: Final answer
    x = 685,991,591.64

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1.5x scale

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.