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Finding the Fourth Proportional to 649,541,336.20, 974,312,004.30 and 649,541,336.20

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Solution

The fourth proportional to 649,541,336.20, 974,312,004.30 and 649,541,336.20 is: 974,312,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,541,336.20 : 974,312,004.30 = 649,541,336.20 : x
  2. Step 2: Convert to fraction form
    649,541,336.20/974,312,004.30 = 649,541,336.20/x
  3. Step 3: Cross multiply
    649,541,336.20x = 974,312,004.30 × 649,541,336.20
  4. Step 4: Simplify right side
    649,541,336.20x = 632,855,921,148,722,176
  5. Step 5: Solve for x
    x = 632,855,921,148,722,176/649,541,336.20
  6. Step 6: Final answer
    x = 974,312,004.30

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Half scale
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Double scale
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Similar ratio
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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.