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Finding the Fourth Proportional to 522,948,696.15, 784,423,044.23 and 522,948,696.15

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Solution

The fourth proportional to 522,948,696.15, 784,423,044.23 and 522,948,696.15 is: 784,423,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,948,696.15 : 784,423,044.23 = 522,948,696.15 : x
  2. Step 2: Convert to fraction form
    522,948,696.15/784,423,044.23 = 522,948,696.15/x
  3. Step 3: Cross multiply
    522,948,696.15x = 784,423,044.23 × 522,948,696.15
  4. Step 4: Simplify right side
    522,948,696.15x = 410,213,008,207,477,504
  5. Step 5: Solve for x
    x = 410,213,008,207,477,504/522,948,696.15
  6. Step 6: Final answer
    x = 784,423,044.23

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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.